Search a number
-
+
1049076120 = 233517717243
BaseRepresentation
bin111110100001111…
…010000110011000
32201010000120220010
4332201322012120
54122030413440
6252033201520
734665666651
oct7641720630
92633016803
101049076120
114991a3464
122534002a0
13139460c01
149d484528
1562177580
hex3e87a198

1049076120 has 128 divisors (see below), whose sum is σ = 3379760640. Its totient is φ = 259553280.

The previous prime is 1049076101. The next prime is 1049076121. The reversal of 1049076120 is 216709401.

It is a happy number.

1049076120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10490761202 = 2201121411108508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049076121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141219 + ... + 148461.

It is an arithmetic number, because the mean of its divisors is an integer number (26404380).

Almost surely, 21049076120 is an apocalyptic number.

1049076120 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 1049076120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689880320).

1049076120 is an abundant number, since it is smaller than the sum of its proper divisors (2330684520).

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

1049076120 is a wasteful number, since it uses less digits than its factorization.

1049076120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7345 (or 7341 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1049076120 is about 32389.4445768988. Note that the first 3 decimals coincide. The cubic root of 1049076120 is about 1016.0981651281.

The spelling of 1049076120 in words is "one billion, forty-nine million, seventy-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 71 85 102 120 136 142 170 204 213 255 284 340 355 408 426 510 568 680 710 852 1020 1065 1207 1420 1704 2040 2130 2414 2840 3621 4260 4828 6035 7242 7243 8520 9656 12070 14484 14486 18105 21729 24140 28968 28972 36210 36215 43458 48280 57944 72420 72430 86916 108645 123131 144840 144860 173832 217290 246262 289720 369393 434580 492524 514253 615655 738786 869160 985048 1028506 1231310 1477572 1542759 1846965 2057012 2462620 2571265 2955144 3085518 3693930 4114024 4925240 5142530 6171036 7387860 7713795 8742301 10285060 12342072 14775720 15427590 17484602 20570120 26226903 30855180 34969204 43711505 52453806 61710360 69938408 87423010 104907612 131134515 174846020 209815224 262269030 349692040 524538060 1049076120