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23157620 = 2253141911
BaseRepresentation
bin101100001010…
…1101101110100
31121120112021122
41120111231310
521412020440
62144203112
7400556633
oct130255564
947515248
1023157620
1112087732
127909498
134a4a745
14310b51a
1520767b5
hex1615b74

23157620 has 48 divisors (see below), whose sum is σ = 51480576. Its totient is φ = 8736000.

The previous prime is 23157611. The next prime is 23157623. The reversal of 23157620 is 2675132.

It is a self number, because there is not a number n which added to its sum of digits gives 23157620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23157623) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24965 + ... + 25875.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 223157620 is an apocalyptic number.

23157620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23157620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740288).

23157620 is an abundant number, since it is smaller than the sum of its proper divisors (28322956).

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

23157620 is a wasteful number, since it uses less digits than its factorization.

23157620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 23157620 is about 4812.2364862920. The cubic root of 23157620 is about 285.0348577453.

It can be divided in two parts, 231 and 57620, that multiplied together give a triangular number (13310220 = T5159).

The spelling of 23157620 in words is "twenty-three million, one hundred fifty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 911 1271 1822 2542 3644 4555 5084 6355 9110 12710 18220 25420 28241 37351 56482 74702 112964 141205 149404 186755 282410 373510 564820 747020 1157881 2315762 4631524 5789405 11578810 23157620