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23117920 = 255720641
BaseRepresentation
bin101100000110…
…0000001100000
31121111111211021
41120030001200
521404233140
62143255224
7400333120
oct130140140
947444737
1023117920
111205a921
1278aa514
134a35657
1430dac80
152069b4a
hex160c060

23117920 has 48 divisors (see below), whose sum is σ = 62421408. Its totient is φ = 7925760.

The previous prime is 23117917. The next prime is 23117923. The reversal of 23117920 is 2971132.

It is an interprime number because it is at equal distance from previous prime (23117917) and next prime (23117923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23117923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9201 + ... + 11440.

It is an arithmetic number, because the mean of its divisors is an integer number (1300446).

Almost surely, 223117920 is an apocalyptic number.

23117920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23117920 is an abundant number, since it is smaller than the sum of its proper divisors (39303488).

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

23117920 is a wasteful number, since it uses less digits than its factorization.

23117920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20663 (or 20655 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 23117920 is about 4808.1098157176. The cubic root of 23117920 is about 284.8718824994.

The spelling of 23117920 in words is "twenty-three million, one hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 20641 41282 82564 103205 144487 165128 206410 288974 330256 412820 577948 660512 722435 825640 1155896 1444870 1651280 2311792 2889740 3302560 4623584 5779480 11558960 23117920