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109013424 = 24313414261
BaseRepresentation
bin1100111111101…
…10100110110000
321121010110022020
412133312212300
5210401412144
614452311440
72462412252
oct637664660
9247113266
10109013424
1156598443
1230612580
131977b2b0
1410699cd2
159885419
hex67f69b0

109013424 has 80 divisors (see below), whose sum is σ = 310750944. Its totient is φ = 32716800.

The previous prime is 109013381. The next prime is 109013459. The reversal of 109013424 is 424310901.

It is a super-2 number, since 2×1090134242 = 23767853224407552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 109013394 and 109013403.

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, 23454 + ... + 27714.

Almost surely, 2109013424 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 109013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155375472).

109013424 is an abundant number, since it is smaller than the sum of its proper divisors (201737520).

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

109013424 is a wasteful number, since it uses less digits than its factorization.

109013424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 109013424 is about 10440.9493821204. The cubic root of 109013424 is about 477.7052272427.

The spelling of 109013424 in words is "one hundred nine million, thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1968 2132 3198 4261 4264 6396 8522 8528 12783 12792 17044 25566 25584 34088 51132 55393 68176 102264 110786 166179 174701 204528 221572 332358 349402 443144 524103 664716 698804 886288 1048206 1329432 1397608 2096412 2271113 2658864 2795216 4192824 4542226 6813339 8385648 9084452 13626678 18168904 27253356 36337808 54506712 109013424