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109660992 = 2637139587
BaseRepresentation
bin1101000100101…
…00101101000000
321122100100121020
412202110231000
5211033122432
614514225440
72501050230
oct642245500
9248310536
10109660992
115699aa21
1230885280
1319946c7c
14107c7cc0
15996222c
hex6894b40

109660992 has 112 divisors (see below), whose sum is σ = 334548480. Its totient is φ = 31053312.

The previous prime is 109660973. The next prime is 109661003. The reversal of 109660992 is 299066901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186523 + ... + 187109.

It is an arithmetic number, because the mean of its divisors is an integer number (2987040).

Almost surely, 2109660992 is an apocalyptic number.

109660992 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 109660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167274240).

109660992 is an abundant number, since it is smaller than the sum of its proper divisors (224887488).

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

109660992 is a wasteful number, since it uses less digits than its factorization.

109660992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 109660992 is about 10471.9144381531. The cubic root of 109660992 is about 478.6492580715.

The spelling of 109660992 in words is "one hundred nine million, six hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 139 168 192 224 278 336 417 448 556 587 672 834 973 1112 1174 1344 1668 1761 1946 2224 2348 2919 3336 3522 3892 4109 4448 4696 5838 6672 7044 7784 8218 8896 9392 11676 12327 13344 14088 15568 16436 18784 23352 24654 26688 28176 31136 32872 37568 46704 49308 56352 62272 65744 81593 93408 98616 112704 131488 163186 186816 197232 244779 262976 326372 394464 489558 571151 652744 788928 979116 1142302 1305488 1713453 1958232 2284604 2610976 3426906 3916464 4569208 5221952 6853812 7832928 9138416 13707624 15665856 18276832 27415248 36553664 54830496 109660992