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195234560 = 2851271201
BaseRepresentation
bin10111010001100…
…00101100000000
3111121100221110122
423220300230000
5344440001220
631212315412
74560315653
oct1350605400
9447327418
10195234560
11a0228684
1255472b68
13315a9211
141bd0189a
1512217425
hexba30b00

195234560 has 72 divisors (see below), whose sum is σ = 471722496. Its totient is φ = 77414400.

The previous prime is 195234521. The next prime is 195234623. The reversal of 195234560 is 65432591.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 195234560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161960 + ... + 163160.

Almost surely, 2195234560 is an apocalyptic number.

195234560 is a gapful number since it is divisible by the number (10) 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 195234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235861248).

195234560 is an abundant number, since it is smaller than the sum of its proper divisors (276487936).

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

195234560 is a wasteful number, since it uses less digits than its factorization.

195234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 195234560 is about 13972.6361149212. The cubic root of 195234560 is about 580.1214173076.

The spelling of 195234560 in words is "one hundred ninety-five million, two hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 635 640 1016 1201 1270 1280 2032 2402 2540 4064 4804 5080 6005 8128 9608 10160 12010 16256 19216 20320 24020 32512 38432 40640 48040 76864 81280 96080 152527 153728 162560 192160 305054 307456 384320 610108 762635 768640 1220216 1525270 1537280 2440432 3050540 4880864 6101080 9761728 12202160 19523456 24404320 39046912 48808640 97617280 195234560