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1450441080 = 233451140697
BaseRepresentation
bin101011001110011…
…1111100101111000
310202002021001010000
41112130333211320
510432303103310
6355531553000
750641355124
oct12634774570
93662231100
101450441080
11684810940
123458bb760
131a165c87a
14da8c2584
158750a4c0
hex5673f978

1450441080 has 160 divisors (see below), whose sum is σ = 5318414640. Its totient is φ = 351613440.

The previous prime is 1450441079. The next prime is 1450441081. The reversal of 1450441080 is 801440541.

It is a happy number.

1450441080 is a `hidden beast` number, since 145 + 0 + 441 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1450441079) and next prime (1450441081).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450441081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15292 + ... + 55988.

Almost surely, 21450441080 is an apocalyptic number.

1450441080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450441080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659207320).

1450441080 is an abundant number, since it is smaller than the sum of its proper divisors (3867973560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1450441080 is a wasteful number, since it uses less digits than its factorization.

1450441080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40731 (or 40718 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1450441080 is about 38084.6567530810. The cubic root of 1450441080 is about 1131.9659514371.

The spelling of 1450441080 in words is "one billion, four hundred fifty million, four hundred forty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 40697 81394 122091 162788 203485 244182 325576 366273 406970 447667 488364 610455 732546 813940 895334 976728 1098819 1220910 1343001 1465092 1627880 1790668 1831365 2197638 2238335 2441820 2686002 2930184 3296457 3581336 3662730 4029003 4395276 4476670 4883640 5372004 5494095 6592914 6715005 7325460 8058006 8790552 8953340 10744008 10988190 12087009 13185828 13430010 14650920 16116012 16482285 17906680 20145015 21976380 24174018 26371656 26860020 32232024 32964570 36261027 40290030 43952760 48348036 53720040 60435045 65929140 72522054 80580060 96696072 120870090 131858280 145044108 161160120 181305135 241740180 290088216 362610270 483480360 725220540 1450441080