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252753030 = 23259293023
BaseRepresentation
bin11110001000010…
…11010010000110
3122121121011222100
433010023102012
51004201044110
641025212530
76156236205
oct1704132206
9577534870
10252753030
1111a744102
1270791146
134049780a
14257d523c
15172c9bc0
hexf10b486

252753030 has 48 divisors (see below), whose sum is σ = 658082880. Its totient is φ = 67305984.

The previous prime is 252753023. The next prime is 252753043. The reversal of 252753030 is 30357252.

It is a junction number, because it is equal to n+sod(n) for n = 252752985 and 252753003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82099 + ... + 85121.

It is an arithmetic number, because the mean of its divisors is an integer number (13710060).

Almost surely, 2252753030 is an apocalyptic number.

252753030 is an abundant number, since it is smaller than the sum of its proper divisors (405329850).

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

252753030 is a wasteful number, since it uses less digits than its factorization.

252753030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 252753030 is about 15898.2083896268. The cubic root of 252753030 is about 632.2644886539.

The spelling of 252753030 in words is "two hundred fifty-two million, seven hundred fifty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 929 1858 2787 3023 4645 5574 6046 8361 9069 9290 13935 15115 16722 18138 27207 27870 30230 41805 45345 54414 83610 90690 136035 272070 2808367 5616734 8425101 14041835 16850202 25275303 28083670 42125505 50550606 84251010 126376515 252753030