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108532256 = 2572193643
BaseRepresentation
bin1100111100000…
…01001000100000
321120020000021012
412132001020200
5210241013011
614434120052
72455336400
oct636011040
9246200235
10108532256
1156299988
1230420028
1319640291
14105b2800
1597dca8b
hex6781220

108532256 has 72 divisors (see below), whose sum is σ = 261712080. Its totient is φ = 44053632.

The previous prime is 108532253. The next prime is 108532273. The reversal of 108532256 is 652235801.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (108532253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27971 + ... + 31613.

It is an arithmetic number, because the mean of its divisors is an integer number (3634890).

Almost surely, 2108532256 is an apocalyptic number.

108532256 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 108532256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130856040).

108532256 is an abundant number, since it is smaller than the sum of its proper divisors (153179824).

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

108532256 is a wasteful number, since it uses less digits than its factorization.

108532256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 108532256 is about 10417.8815504881. The cubic root of 108532256 is about 477.0013522047.

The spelling of 108532256 in words is "one hundred eight million, five hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3643 3724 4256 7286 7448 14572 14896 25501 29144 29792 51002 58288 69217 102004 116576 138434 178507 204008 276868 357014 408016 484519 553736 714028 816032 969038 1107472 1428056 1938076 2214944 2856112 3391633 3876152 5712224 6783266 7752304 13566532 15504608 27133064 54266128 108532256