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252023240 = 23575231721
BaseRepresentation
bin11110000010110…
…01000111001000
3122120020002220002
433001121013020
51004004220430
641001422132
76150106430
oct1701310710
9576202802
10252023240
1111a295877
127049a948
13402a05a1
14256852c0
15171d3845
hexf0591c8

252023240 has 64 divisors (see below), whose sum is σ = 649676160. Its totient is φ = 86192640.

The previous prime is 252023237. The next prime is 252023281. The reversal of 252023240 is 42320252.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 145580 + ... + 147300.

It is an arithmetic number, because the mean of its divisors is an integer number (10151190).

Almost surely, 2252023240 is an apocalyptic number.

252023240 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 252023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324838080).

252023240 is an abundant number, since it is smaller than the sum of its proper divisors (397652920).

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

252023240 is a wasteful number, since it uses less digits than its factorization.

252023240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 252023240 is about 15875.2398407079. The cubic root of 252023240 is about 631.6553761261.

Adding to 252023240 its reverse (42320252), we get a palindrome (294343492).

The spelling of 252023240 in words is "two hundred fifty-two million, twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 523 1046 1721 2092 2615 3442 3661 4184 5230 6884 7322 8605 10460 12047 13768 14644 17210 18305 20920 24094 29288 34420 36610 48188 60235 68840 73220 96376 120470 146440 240940 481880 900083 1800166 3600332 4500415 6300581 7200664 9000830 12601162 18001660 25202324 31502905 36003320 50404648 63005810 126011620 252023240