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252554120 = 23571369383
BaseRepresentation
bin11110000110110…
…10101110001000
3122121020002010022
433003122232020
51004123212440
641021040012
76154450250
oct1703325610
9577202108
10252554120
1111a618715
12706b6008
1340428110
1425782960
151728acb5
hexf0dab88

252554120 has 64 divisors (see below), whose sum is σ = 699390720. Its totient is φ = 79928064.

The previous prime is 252554101. The next prime is 252554149. The reversal of 252554120 is 21455252.

252554120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 252554120.

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, 31052 + ... + 38331.

It is an arithmetic number, because the mean of its divisors is an integer number (10927980).

Almost surely, 2252554120 is an apocalyptic number.

252554120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252554120 is an abundant number, since it is smaller than the sum of its proper divisors (446836600).

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

252554120 is a wasteful number, since it uses less digits than its factorization.

252554120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69414 (or 69410 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 252554120 is about 15891.9514220249. The cubic root of 252554120 is about 632.0985866074.

The spelling of 252554120 in words is "two hundred fifty-two million, five hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 69383 138766 277532 346915 485681 555064 693830 901979 971362 1387660 1803958 1942724 2428405 2775320 3607916 3885448 4509895 4856810 6313853 7215832 9019790 9713620 12627706 18039580 19427240 25255412 31569265 36079160 50510824 63138530 126277060 252554120