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23142720 = 263524107
BaseRepresentation
bin101100001001…
…0000101000000
31121112202211210
41120102011000
521411031340
62144010120
7400465326
oct130220500
947482753
1023142720
1112077517
127900940
134a43a23
143105d16
152072180
hex1612140

23142720 has 56 divisors (see below), whose sum is σ = 73481184. Its totient is φ = 6171136.

The previous prime is 23142719. The next prime is 23142733. The reversal of 23142720 is 2724132.

It is a congruent number.

It is an unprimeable number.

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, 11094 + ... + 13013.

It is an arithmetic number, because the mean of its divisors is an integer number (1312164).

Almost surely, 223142720 is an apocalyptic number.

23142720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23142720 is an abundant number, since it is smaller than the sum of its proper divisors (50338464).

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

23142720 is a wasteful number, since it uses less digits than its factorization.

23142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24127 (or 24117 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 23142720 is about 4810.6881004696. The cubic root of 23142720 is about 284.9737125646.

Adding to 23142720 its reverse (2724132), we get a palindrome (25866852).

The spelling of 23142720 in words is "twenty-three million, one hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 24107 48214 72321 96428 120535 144642 192856 241070 289284 361605 385712 482140 578568 723210 771424 964280 1157136 1446420 1542848 1928560 2314272 2892840 3857120 4628544 5785680 7714240 11571360 23142720