Search a number
-
+
107914032 = 243483267
BaseRepresentation
bin1100110111010…
…10001100110000
321112001121020000
412123222030300
5210111222112
614412550000
72450153112
oct633521460
9245047200
10107914032
1155a07456
1230182300
1319484a75
14104913b2
1597197dc
hex66ea330

107914032 has 50 divisors (see below), whose sum is σ = 312338268. Its totient is φ = 35970912.

The previous prime is 107914003. The next prime is 107914049. The reversal of 107914032 is 230419701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107913987 and 107914005.

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 9 ways as a sum of consecutive naturals, for example, 40338 + ... + 42929.

Almost surely, 2107914032 is an apocalyptic number.

107914032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107914032 is an abundant number, since it is smaller than the sum of its proper divisors (204424236).

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

107914032 is an equidigital number, since it uses as much as digits as its factorization.

107914032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83287 (or 83272 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107914032 is about 10388.1678846657. The cubic root of 107914032 is about 476.0939249251.

The spelling of 107914032 in words is "one hundred seven million, nine hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 83267 166534 249801 333068 499602 666136 749403 999204 1332272 1498806 1998408 2248209 2997612 3996816 4496418 5995224 6744627 8992836 11990448 13489254 17985672 26978508 35971344 53957016 107914032