Search a number
-
+
260642040 = 23354674651
BaseRepresentation
bin11111000100100…
…01010011111000
3200011102222122220
433202101103320
51013211021130
641510244040
76313264221
oct1742212370
9604388586
10260642040
1112414224a
1273356620
1341cca579
142688a248
1517d37410
hexf8914f8

260642040 has 64 divisors (see below), whose sum is σ = 783768960. Its totient is φ = 69340800.

The previous prime is 260642027. The next prime is 260642051. The reversal of 260642040 is 40246062.

260642040 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 260642040.

It is a congruent number.

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, 53715 + ... + 58365.

It is an arithmetic number, because the mean of its divisors is an integer number (12246390).

Almost surely, 2260642040 is an apocalyptic number.

260642040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260642040 is an abundant number, since it is smaller than the sum of its proper divisors (523126920).

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

260642040 is a wasteful number, since it uses less digits than its factorization.

260642040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 260642040 is about 16144.4120363673. The cubic root of 260642040 is about 638.7753599688.

The spelling of 260642040 in words is "two hundred sixty million, six hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 467 934 1401 1868 2335 2802 3736 4651 4670 5604 7005 9302 9340 11208 13953 14010 18604 18680 23255 27906 28020 37208 46510 55812 56040 69765 93020 111624 139530 186040 279060 558120 2172017 4344034 6516051 8688068 10860085 13032102 17376136 21720170 26064204 32580255 43440340 52128408 65160510 86880680 130321020 260642040