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18160896 = 2831317107
BaseRepresentation
bin100010101000…
…1110100000000
31021011200001210
41011101310000
514122122041
61445130120
7310236135
oct105216400
937150053
1018160896
11a284606
1260b9940
1339bb2c0
1425aa58c
1518db016
hex1151d00

18160896 has 144 divisors (see below), whose sum is σ = 55629504. Its totient is φ = 5210112.

The previous prime is 18160871. The next prime is 18160907. The reversal of 18160896 is 69806181.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 169675 + ... + 169781.

It is an arithmetic number, because the mean of its divisors is an integer number (386316).

Almost surely, 218160896 is an apocalyptic number.

18160896 is a gapful number since it is divisible by the number (16) 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 18160896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27814752).

18160896 is an abundant number, since it is smaller than the sum of its proper divisors (37468608).

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

18160896 is a wasteful number, since it uses less digits than its factorization.

18160896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 18160896 is about 4261.5602776448. The cubic root of 18160896 is about 262.8526887354.

The spelling of 18160896 in words is "eighteen million, one hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 107 128 136 156 192 204 208 214 221 256 272 312 321 384 408 416 428 442 544 624 642 663 768 816 832 856 884 1088 1248 1284 1326 1391 1632 1664 1712 1768 1819 2176 2496 2568 2652 2782 3264 3328 3424 3536 3638 4173 4352 4992 5136 5304 5457 5564 6528 6848 7072 7276 8346 9984 10272 10608 10914 11128 13056 13696 14144 14552 16692 20544 21216 21828 22256 23647 27392 28288 29104 33384 41088 42432 43656 44512 47294 56576 58208 66768 70941 82176 84864 87312 89024 94588 116416 133536 141882 169728 174624 178048 189176 232832 267072 283764 349248 356096 378352 465664 534144 567528 698496 756704 1068288 1135056 1396992 1513408 2270112 3026816 4540224 6053632 9080448 18160896