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23149320 = 2335379509
BaseRepresentation
bin101100001001…
…1101100001000
31121120002220020
41120103230020
521411234240
62144100440
7400523505
oct130235410
947502806
1023149320
1112081477
127904720
134a46a2c
1431084ac
1520740d0
hex1613b08

23149320 has 64 divisors (see below), whose sum is σ = 69768000. Its totient is φ = 6144768.

The previous prime is 23149319. The next prime is 23149363. The reversal of 23149320 is 2394132.

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

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, 45226 + ... + 45734.

It is an arithmetic number, because the mean of its divisors is an integer number (1090125).

Almost surely, 223149320 is an apocalyptic number.

23149320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23149320 is an abundant number, since it is smaller than the sum of its proper divisors (46618680).

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

23149320 is a wasteful number, since it uses less digits than its factorization.

23149320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 23149320 is about 4811.3740241224. The cubic root of 23149320 is about 285.0008002440. Note that the first 3 decimals are identical.

The spelling of 23149320 in words is "twenty-three million, one hundred forty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 379 509 758 1018 1137 1516 1527 1895 2036 2274 2545 3032 3054 3790 4072 4548 5090 5685 6108 7580 7635 9096 10180 11370 12216 15160 15270 20360 22740 30540 45480 61080 192911 385822 578733 771644 964555 1157466 1543288 1929110 2314932 2893665 3858220 4629864 5787330 7716440 11574660 23149320