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260189696 = 291323197
BaseRepresentation
bin11111000001000…
…10111000000000
3200010121000011102
433200202320000
51013102032241
641452433532
76306401354
oct1740427000
9603530142
10260189696
11123963408
12731788a8
1341b9c700
14267ad464
1517c9839b
hexf822e00

260189696 has 120 divisors (see below), whose sum is σ = 587087424. Its totient is φ = 115015680.

The previous prime is 260189693. The next prime is 260189707. The reversal of 260189696 is 696981062.

It is a self number, because there is not a number n which added to its sum of digits gives 260189696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260189693) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2682320 + ... + 2682416.

Almost surely, 2260189696 is an apocalyptic number.

260189696 is a gapful number since it is divisible by the number (26) 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 260189696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293543712).

260189696 is an abundant number, since it is smaller than the sum of its proper divisors (326897728).

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

260189696 is an equidigital number, since it uses as much as digits as its factorization.

260189696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 260189696 is about 16130.3966473240. The cubic root of 260189696 is about 638.4056146557.

The spelling of 260189696 in words is "two hundred sixty million, one hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 97 104 124 128 169 194 208 248 256 338 388 403 416 496 512 676 776 806 832 992 1261 1352 1552 1612 1664 1984 2522 2704 3007 3104 3224 3328 3968 5044 5239 5408 6014 6208 6448 6656 7936 10088 10478 10816 12028 12416 12896 15872 16393 20176 20956 21632 24056 24832 25792 32786 39091 40352 41912 43264 48112 49664 51584 65572 78182 80704 83824 86528 96224 103168 131144 156364 161408 167648 192448 206336 262288 312728 322816 335296 384896 508183 524576 625456 645632 670592 769792 1016366 1049152 1250912 1341184 1539584 2032732 2098304 2501824 2682368 4065464 4196608 5003648 8130928 8393216 10007296 16261856 20014592 32523712 65047424 130094848 260189696