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109690528 = 2517229409
BaseRepresentation
bin1101000100110…
…11111010100000
321122101212010011
412202123322200
5211040044103
614515014304
72501232313
oct642337240
9248355104
10109690528
1156a10132
123089a394
131995754c
14107d497a
15996ad6d
hex689bea0

109690528 has 72 divisors (see below), whose sum is σ = 237894300. Its totient is φ = 49717248.

The previous prime is 109690523. The next prime is 109690531. The reversal of 109690528 is 825096901.

It can be written as a sum of positive squares in 6 ways, for example, as 103795344 + 5895184 = 10188^2 + 2428^2 .

It is not an unprimeable number, because it can be changed into a prime (109690523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267988 + ... + 268396.

Almost surely, 2109690528 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 109690528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118947150).

109690528 is an abundant number, since it is smaller than the sum of its proper divisors (128203772).

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

109690528 is a wasteful number, since it uses less digits than its factorization.

109690528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 109690528 is about 10473.3245915516. The cubic root of 109690528 is about 478.6922272111.

The spelling of 109690528 in words is "one hundred nine million, six hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 289 409 464 493 544 578 818 928 986 1156 1636 1972 2312 3272 3944 4624 6544 6953 7888 8381 9248 11861 13088 13906 15776 16762 23722 27812 33524 47444 55624 67048 94888 111248 118201 134096 189776 201637 222496 236402 268192 379552 403274 472804 806548 945608 1613096 1891216 3226192 3427829 3782432 6452384 6855658 13711316 27422632 54845264 109690528