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195400656 = 243211281439
BaseRepresentation
bin10111010010110…
…01001111010000
3111121200101022100
423221121033100
5400010310111
631220040400
74561610133
oct1351311720
9447611270
10195400656
11a0331450
1255533100
13316369b9
141bd4621a
151224b756
hexba593d0

195400656 has 120 divisors (see below), whose sum is σ = 600050880. Its totient is φ = 58867200.

The previous prime is 195400649. The next prime is 195400661. The reversal of 195400656 is 656004591.

195400656 is a `hidden beast` number, since 195 + 400 + 65 + 6 = 666.

195400656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 195400656.

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, 444885 + ... + 445323.

It is an arithmetic number, because the mean of its divisors is an integer number (5000424).

Almost surely, 2195400656 is an apocalyptic number.

195400656 is a gapful number since it is divisible by the number (16) 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 195400656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300025440).

195400656 is an abundant number, since it is smaller than the sum of its proper divisors (404650224).

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

195400656 is a wasteful number, since it uses less digits than its factorization.

195400656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 195400656 is about 13978.5784684996. The cubic root of 195400656 is about 580.2858836379.

The spelling of 195400656 in words is "one hundred ninety-five million, four hundred thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 281 396 439 528 562 792 843 878 1124 1317 1584 1686 1756 2248 2529 2634 3091 3372 3512 3951 4496 4829 5058 5268 6182 6744 7024 7902 9273 9658 10116 10536 12364 13488 14487 15804 18546 19316 20232 21072 24728 27819 28974 31608 37092 38632 40464 43461 49456 55638 57948 63216 74184 77264 86922 111276 115896 123359 148368 173844 222552 231792 246718 347688 370077 445104 493436 695376 740154 986872 1110231 1356949 1480308 1973744 2220462 2713898 2960616 4070847 4440924 5427796 5921232 8141694 8881848 10855592 12212541 16283388 17763696 21711184 24425082 32566776 48850164 65133552 97700328 195400656