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1013897472 = 28371131669
BaseRepresentation
bin111100011011101…
…101100100000000
32121122211022212020
4330123231210000
54034024204342
6244335201440
734060662210
oct7433554400
92548738766
101013897472
114803561a5
12243676280
13132094a43
1498928240
155e0290ec
hex3c6ed900

1013897472 has 144 divisors (see below), whose sum is σ = 3113093760. Its totient is φ = 286949376.

The previous prime is 1013897471. The next prime is 1013897483. The reversal of 1013897472 is 2747983101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1013897471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606654 + ... + 608322.

Almost surely, 21013897472 is an apocalyptic number.

1013897472 is a gapful number since it is divisible by the number (12) 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 1013897472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556546880).

1013897472 is an abundant number, since it is smaller than the sum of its proper divisors (2099196288).

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

1013897472 is a wasteful number, since it uses less digits than its factorization.

1013897472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 1013897472 is about 31841.7567354567. The cubic root of 1013897472 is about 1004.6111948658.

The spelling of 1013897472 in words is "one billion, thirteen million, eight hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 128 168 192 224 226 256 336 339 384 448 452 672 678 768 791 896 904 1344 1356 1582 1669 1792 1808 2373 2688 2712 3164 3338 3616 4746 5007 5376 5424 6328 6676 7232 9492 10014 10848 11683 12656 13352 14464 18984 20028 21696 23366 25312 26704 28928 35049 37968 40056 43392 46732 50624 53408 70098 75936 80112 86784 93464 101248 106816 140196 151872 160224 186928 188597 202496 213632 280392 303744 320448 373856 377194 427264 560784 565791 607488 640896 747712 754388 1121568 1131582 1281792 1320179 1495424 1508776 2243136 2263164 2640358 2990848 3017552 3960537 4486272 4526328 5280716 6035104 7921074 8972544 9052656 10561432 12070208 15842148 18105312 21122864 24140416 31684296 36210624 42245728 48280832 63368592 72421248 84491456 126737184 144842496 168982912 253474368 337965824 506948736 1013897472