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109057572 = 2232131991171
BaseRepresentation
bin1101000000000…
…01011000100100
321121012200212100
412200001120210
5210404320242
614453252100
72462655051
oct640013044
9247180770
10109057572
1156618628
1230634030
1319795410
14106ac028
15989354c
hex6801624

109057572 has 72 divisors (see below), whose sum is σ = 298625600. Its totient is φ = 33359040.

The previous prime is 109057541. The next prime is 109057577. The reversal of 109057572 is 275750901.

109057572 is a `hidden beast` number, since 10 + 9 + 0 + 575 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109057577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92547 + ... + 93717.

Almost surely, 2109057572 is an apocalyptic number.

109057572 is a gapful number since it is divisible by the number (12) 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 109057572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149312800).

109057572 is an abundant number, since it is smaller than the sum of its proper divisors (189568028).

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

109057572 is a wasteful number, since it uses less digits than its factorization.

109057572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 109057572 is about 10443.0633436746. The cubic root of 109057572 is about 477.7697051858.

The spelling of 109057572 in words is "one hundred nine million, fifty-seven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 199 234 398 468 597 796 1171 1194 1791 2342 2388 2587 3513 3582 4684 5174 7026 7164 7761 10348 10539 14052 15223 15522 21078 23283 30446 31044 42156 45669 46566 60892 91338 93132 137007 182676 233029 274014 466058 548028 699087 932116 1398174 2097261 2796348 3029377 4194522 6058754 8389044 9088131 12117508 18176262 27264393 36352524 54528786 109057572