Search a number
-
+
252160600 = 235243109269
BaseRepresentation
bin11110000011110…
…10101001011000
3122120111002022111
433001322221120
51004023114400
641004402104
76151221046
oct1701725130
9576432274
10252160600
1111a379a9a
1270546334
134031ac73
14256bd396
151720e3ba
hexf07aa58

252160600 has 96 divisors (see below), whose sum is σ = 607662000. Its totient is φ = 97251840.

The previous prime is 252160589. The next prime is 252160613. The reversal of 252160600 is 6061252.

252160600 is digitally balanced in base 2, because in such base 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 23 ways as a sum of consecutive naturals, for example, 937266 + ... + 937534.

Almost surely, 2252160600 is an apocalyptic number.

252160600 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 252160600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303831000).

252160600 is an abundant number, since it is smaller than the sum of its proper divisors (355501400).

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

252160600 is a wasteful number, since it uses less digits than its factorization.

252160600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 252160600 is about 15879.5654852392. The cubic root of 252160600 is about 631.7701121378.

The spelling of 252160600 in words is "two hundred fifty-two million, one hundred sixty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 109 172 200 215 218 269 344 430 436 538 545 860 872 1075 1076 1090 1345 1720 2150 2152 2180 2690 2725 4300 4360 4687 5380 5450 6725 8600 9374 10760 10900 11567 13450 18748 21800 23134 23435 26900 29321 37496 46268 46870 53800 57835 58642 92536 93740 115670 117175 117284 146605 187480 231340 234350 234568 289175 293210 462680 468700 578350 586420 733025 937400 1156700 1172840 1260803 1466050 2313400 2521606 2932100 5043212 5864200 6304015 10086424 12608030 25216060 31520075 50432120 63040150 126080300 252160600