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252088380 = 2232510313597
BaseRepresentation
bin11110000011010…
…01000000111100
3122120100102020200
433001221000330
51004013312010
641003043500
76150500355
oct1701510074
9576312220
10252088380
1111a32a805
1270510590
13402c412b
14256a0d2c
15171e7cc0
hexf06903c

252088380 has 72 divisors (see below), whose sum is σ = 772148832. Its totient is φ = 66566016.

The previous prime is 252088379. The next prime is 252088381. The reversal of 252088380 is 83880252.

It is an interprime number because it is at equal distance from previous prime (252088379) and next prime (252088381).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252088381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11742 + ... + 25338.

Almost surely, 2252088380 is an apocalyptic number.

252088380 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 252088380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386074416).

252088380 is an abundant number, since it is smaller than the sum of its proper divisors (520060452).

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

252088380 is a wasteful number, since it uses less digits than its factorization.

252088380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13715 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 252088380 is about 15877.2913307025. The cubic root of 252088380 is about 631.7097923864.

The spelling of 252088380 in words is "two hundred fifty-two million, eighty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 13597 18540 27194 40791 54388 67985 81582 122373 135970 163164 203955 244746 271940 407910 489492 611865 815820 1223730 1400491 2447460 2800982 4201473 5601964 7002455 8402946 12604419 14004910 16805892 21007365 25208838 28009820 42014730 50417676 63022095 84029460 126044190 252088380