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23142840 = 2335727551
BaseRepresentation
bin101100001001…
…0000110111000
31121112210000020
41120102012320
521411032330
62144010440
7400465560
oct130220670
947483006
1023142840
1112077616
127900a20
134a43ab6
143105da0
152072210
hex16121b8

23142840 has 64 divisors (see below), whose sum is σ = 79349760. Its totient is φ = 5289600.

The previous prime is 23142839. The next prime is 23142859. The reversal of 23142840 is 4824132.

It is a super-4 number, since 4×231428404 (a number of 31 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23142840.

It is a congruent number.

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, 12936 + ... + 14615.

It is an arithmetic number, because the mean of its divisors is an integer number (1239840).

Almost surely, 223142840 is an apocalyptic number.

23142840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23142840 is an abundant number, since it is smaller than the sum of its proper divisors (56206920).

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

23142840 is a wasteful number, since it uses less digits than its factorization.

23142840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27572 (or 27568 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 23142840 is about 4810.7005726817. The cubic root of 23142840 is about 284.9742051139.

Adding to 23142840 its reverse (4824132), we get a palindrome (27966972).

It can be divided in two parts, 231 and 42840, that added together give a triangular number (43071 = T293).

The spelling of 23142840 in words is "twenty-three million, one hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 27551 55102 82653 110204 137755 165306 192857 220408 275510 330612 385714 413265 551020 578571 661224 771428 826530 964285 1102040 1157142 1542856 1653060 1928570 2314284 2892855 3306120 3857140 4628568 5785710 7714280 11571420 23142840