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252955620 = 223251405309
BaseRepresentation
bin11110001001111…
…00101111100100
3122121222110212200
433010330233210
51004224034440
641033414500
76161041641
oct1704745744
9577873780
10252955620
1111a872335
127086a430
1340538aa8
1425848dc8
1517319c30
hexf13cbe4

252955620 has 36 divisors (see below), whose sum is σ = 767299260. Its totient is φ = 67454784.

The previous prime is 252955613. The next prime is 252955621. The reversal of 252955620 is 26559252.

252955620 is a `hidden beast` number, since 2 + 5 + 2 + 95 + 562 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80138304 + 172817316 = 8952^2 + 13146^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252955621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702475 + ... + 702834.

Almost surely, 2252955620 is an apocalyptic number.

252955620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252955620 is an abundant number, since it is smaller than the sum of its proper divisors (514343640).

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

252955620 is a wasteful number, since it uses less digits than its factorization.

252955620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405324 (or 1405319 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 252955620 is about 15904.5785860550. The cubic root of 252955620 is about 632.4333705792.

The spelling of 252955620 in words is "two hundred fifty-two million, nine hundred fifty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1405309 2810618 4215927 5621236 7026545 8431854 12647781 14053090 16863708 21079635 25295562 28106180 42159270 50591124 63238905 84318540 126477810 252955620