Search a number
-
+
195654560 = 2552379673
BaseRepresentation
bin10111010100101…
…11001110100000
3111122011021121012
423222113032200
5400041421220
631225320052
74564015313
oct1352271640
9448137535
10195654560
11a0495192
1255636028
13316c543a
141bdb097a
151229bac5
hexba973a0

195654560 has 96 divisors (see below), whose sum is σ = 489162240. Its totient is φ = 73801728.

The previous prime is 195654551. The next prime is 195654587. The reversal of 195654560 is 65456591.

195654560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290384 + ... + 291056.

It is an arithmetic number, because the mean of its divisors is an integer number (5095440).

Almost surely, 2195654560 is an apocalyptic number.

195654560 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 195654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244581120).

195654560 is an abundant number, since it is smaller than the sum of its proper divisors (293507680).

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

195654560 is a wasteful number, since it uses less digits than its factorization.

195654560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 41.

The square root of 195654560 is about 13987.6574164511. The cubic root of 195654560 is about 580.5371163946.

The spelling of 195654560 in words is "one hundred ninety-five million, six hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 79 80 92 115 158 160 184 230 316 368 395 460 632 673 736 790 920 1264 1346 1580 1817 1840 2528 2692 3160 3365 3634 3680 5384 6320 6730 7268 9085 10768 12640 13460 14536 15479 18170 21536 26920 29072 30958 36340 53167 53840 58144 61916 72680 77395 106334 107680 123832 145360 154790 212668 247664 265835 290720 309580 425336 495328 531670 619160 850672 1063340 1222841 1238320 1701344 2126680 2445682 2476640 4253360 4891364 6114205 8506720 9782728 12228410 19565456 24456820 39130912 48913640 97827280 195654560