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109913944 = 23729531277
BaseRepresentation
bin1101000110100…
…10011101011000
321122211012120211
412203102131120
5211114221234
614523500504
72503152550
oct643223530
9248735524
10109913944
1157052a78
1230987734
1319a0514a
1410852160
1599b2164
hex68d2758

109913944 has 64 divisors (see below), whose sum is σ = 248443200. Its totient is φ = 44588544.

The previous prime is 109913933. The next prime is 109913971. The reversal of 109913944 is 449319901.

It is a junction number, because it is equal to n+sod(n) for n = 109913897 and 109913906.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 85434 + ... + 86710.

It is an arithmetic number, because the mean of its divisors is an integer number (3881925).

Almost surely, 2109913944 is an apocalyptic number.

109913944 is a gapful number since it is divisible by the number (14) 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 109913944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124221600).

109913944 is an abundant number, since it is smaller than the sum of its proper divisors (138529256).

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

109913944 is a wasteful number, since it uses less digits than its factorization.

109913944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 109913944 is about 10483.9851201726. The cubic root of 109913944 is about 479.0170044942.

The spelling of 109913944 in words is "one hundred nine million, nine hundred thirteen thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 28 29 53 56 58 106 116 203 212 232 371 406 424 742 812 1277 1484 1537 1624 2554 2968 3074 5108 6148 8939 10216 10759 12296 17878 21518 35756 37033 43036 67681 71512 74066 86072 135362 148132 259231 270724 296264 473767 518462 541448 947534 1036924 1895068 1962749 2073848 3790136 3925498 7850996 13739243 15701992 27478486 54956972 109913944