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1454105400 = 2335211220029
BaseRepresentation
bin101011010101011…
…1110001100111000
310202100011012121120
41112222332030320
510434222333100
6400142305240
751014456226
oct12652761470
93670135546
101454105400
11686893a00
12346b88220
131a23436c7
14db197b16
15879d10a0
hex56abe338

1454105400 has 144 divisors (see below), whose sum is σ = 4955021400. Its totient is φ = 352492800.

The previous prime is 1454105351. The next prime is 1454105413. The reversal of 1454105400 is 45014541.

It is a happy number.

It is a super-2 number, since 2×14541054002 = 4228845028618320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62586 + ... + 82614.

Almost surely, 21454105400 is an apocalyptic number.

1454105400 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 1454105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477510700).

1454105400 is an abundant number, since it is smaller than the sum of its proper divisors (3500916000).

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

1454105400 is a wasteful number, since it uses less digits than its factorization.

1454105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20070 (or 20050 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1454105400 is about 38132.7339696487. The cubic root of 1454105400 is about 1132.9183967369.

Adding to 1454105400 its reverse (45014541), we get a palindrome (1499119941).

It can be divided in two parts, 145 and 4105400, that added together give a triangular number (4105545 = T2865).

The spelling of 1454105400 in words is "one billion, four hundred fifty-four million, one hundred five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 9075 12100 14520 18150 20029 24200 36300 40058 60087 72600 80116 100145 120174 160232 200290 220319 240348 300435 400580 440638 480696 500725 600870 660957 801160 881276 1001450 1101595 1201740 1321914 1502175 1762552 2002900 2203190 2403480 2423509 2643828 3004350 3304785 4005800 4406380 4847018 5287656 5507975 6008700 6609570 7270527 8812760 9694036 11015950 12017400 12117545 13219140 14541054 16523925 19388072 22031900 24235090 26438280 29082108 33047850 36352635 44063800 48470180 58164216 60587725 66095700 72705270 96940360 121175450 132191400 145410540 181763175 242350900 290821080 363526350 484701800 727052700 1454105400