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1013411672 = 237138915641
BaseRepresentation
bin111100011001110…
…110111101011000
32121121220122110122
4330121312331120
54033413133142
6244320532412
734053566660
oct7431667530
92547818418
101013411672
11480054209
12243481108
13131c548a0
149883d1a0
155de801d2
hex3c676f58

1013411672 has 64 divisors (see below), whose sum is σ = 2365070400. Its totient is φ = 396380160.

The previous prime is 1013411653. The next prime is 1013411723. The reversal of 1013411672 is 2761143101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56972 + ... + 72612.

It is an arithmetic number, because the mean of its divisors is an integer number (36954225).

Almost surely, 21013411672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013411672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182535200).

1013411672 is an abundant number, since it is smaller than the sum of its proper divisors (1351658728).

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

1013411672 is a wasteful number, since it uses less digits than its factorization.

1013411672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15756 (or 15752 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1013411672 is about 31834.1274735150. The cubic root of 1013411672 is about 1004.4507190454.

Adding to 1013411672 its reverse (2761143101), we get a palindrome (3774554773).

The spelling of 1013411672 in words is "one billion, thirteen million, four hundred eleven thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 89 91 104 178 182 356 364 623 712 728 1157 1246 2314 2492 4628 4984 8099 9256 15641 16198 31282 32396 62564 64792 109487 125128 203333 218974 406666 437948 813332 875896 1392049 1423331 1626664 2784098 2846662 5568196 5693324 9744343 11136392 11386648 18096637 19488686 36193274 38977372 72386548 77954744 126676459 144773096 253352918 506705836 1013411672