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983272136 = 237112312151
BaseRepresentation
bin111010100110111…
…000101011001000
32112112012101210112
4322212320223020
54003204202021
6241322533452
733236450420
oct7246705310
92475171715
10983272136
11465038a00
12235367288
13128931242
1494835480
155b4c9d5b
hex3a9b8ac8

983272136 has 144 divisors (see below), whose sum is σ = 2408938560. Its totient is φ = 368280000.

The previous prime is 983272133. The next prime is 983272177. The reversal of 983272136 is 631272389.

983272136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 983272093 and 983272102.

It is not an unprimeable number, because it can be changed into a prime (983272133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6511661 + ... + 6511811.

It is an arithmetic number, because the mean of its divisors is an integer number (16728740).

Almost surely, 2983272136 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 983272136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204469280).

983272136 is an abundant number, since it is smaller than the sum of its proper divisors (1425666424).

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

983272136 is a wasteful number, since it uses less digits than its factorization.

983272136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 202 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 983272136 is about 31357.1704080582. The cubic root of 983272136 is about 994.3926618614.

The spelling of 983272136 in words is "nine hundred eighty-three million, two hundred seventy-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 121 124 151 154 217 242 248 302 308 341 434 484 604 616 682 847 868 961 968 1057 1208 1364 1661 1694 1736 1922 2114 2387 2728 3322 3388 3751 3844 4228 4681 4774 6644 6727 6776 7502 7688 8456 9362 9548 10571 11627 13288 13454 15004 18271 18724 19096 21142 23254 26257 26908 30008 32767 36542 37448 42284 46508 51491 52514 53816 65534 73084 73997 84568 93016 102982 105028 116281 127897 131068 145111 146168 147994 205964 210056 232562 255794 262136 290222 295988 360437 411928 465124 511588 566401 580444 591976 720874 813967 930248 1015777 1023176 1132802 1160888 1441748 1596221 1627934 2031554 2265604 2883496 3192442 3255868 3964807 4063108 4531208 6384884 6511736 7929614 8126216 11173547 12769768 15859228 17558431 22347094 31718456 35116862 44694188 70233724 89388376 122909017 140467448 245818034 491636068 983272136