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252672320 = 2653125471
BaseRepresentation
bin11110000111101…
…11100101000000
3122121110002021002
433003313211000
51004141003240
641023351132
76155451665
oct1703674500
9577402232
10252672320
1111a6994aa
12707524a8
1340469b64
14257b3a6c
15172b0d15
hexf0f7940

252672320 has 56 divisors (see below), whose sum is σ = 621109248. Its totient is φ = 97804800.

The previous prime is 252672313. The next prime is 252672337. The reversal of 252672320 is 23276252.

252672320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2816 + ... + 22655.

Almost surely, 2252672320 is an apocalyptic number.

252672320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252672320 is an abundant number, since it is smaller than the sum of its proper divisors (368436928).

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

252672320 is a wasteful number, since it uses less digits than its factorization.

252672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25519 (or 25509 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 252672320 is about 15895.6698506228. The cubic root of 252672320 is about 632.1971825045.

The spelling of 252672320 in words is "two hundred fifty-two million, six hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 25471 50942 101884 127355 203768 254710 407536 509420 789601 815072 1018840 1579202 1630144 2037680 3158404 3948005 4075360 6316808 7896010 8150720 12633616 15792020 25267232 31584040 50534464 63168080 126336160 252672320