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10897536 = 273133759
BaseRepresentation
bin101001100100…
…100010000000
3202111122121110
4221210202000
510242210121
61025323320
7161425146
oct51444200
922448543
1010897536
116173531
123796540
132347260
141639596
15e53d76
hexa64880

10897536 has 128 divisors (see below), whose sum is σ = 32558400. Its totient is φ = 3207168.

The previous prime is 10897529. The next prime is 10897541. The reversal of 10897536 is 63579801.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 10897494 and 10897503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184675 + ... + 184733.

Almost surely, 210897536 is an apocalyptic number.

10897536 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 10897536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279200).

10897536 is an abundant number, since it is smaller than the sum of its proper divisors (21660864).

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

10897536 is a wasteful number, since it uses less digits than its factorization.

10897536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 10897536 is about 3301.1416207124. The cubic root of 10897536 is about 221.7053147102.

The spelling of 10897536 in words is "ten million, eight hundred ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 59 64 74 78 96 104 111 118 128 148 156 177 192 208 222 236 296 312 354 384 416 444 472 481 592 624 708 767 832 888 944 962 1184 1248 1416 1443 1534 1664 1776 1888 1924 2183 2301 2368 2496 2832 2886 3068 3552 3776 3848 4366 4602 4736 4992 5664 5772 6136 6549 7104 7552 7696 8732 9204 11328 11544 12272 13098 14208 15392 17464 18408 22656 23088 24544 26196 28379 30784 34928 36816 46176 49088 52392 56758 61568 69856 73632 85137 92352 98176 104784 113516 139712 147264 170274 184704 209568 227032 279424 294528 340548 419136 454064 681096 838272 908128 1362192 1816256 2724384 3632512 5448768 10897536