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260430688 = 2572414051
BaseRepresentation
bin11111000010111…
…01101101100000
3200011001020202001
433201131231200
51013132240223
641501533344
76311424100
oct1741355540
9604036661
10260430688
11124008481
1273274254
1341c552cb
1426833200
1517ce49ad
hexf85db60

260430688 has 72 divisors (see below), whose sum is σ = 611130744. Its totient is φ = 108864000.

The previous prime is 260430673. The next prime is 260430719. The reversal of 260430688 is 886034062.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62263 + ... + 66313.

It is an arithmetic number, because the mean of its divisors is an integer number (8487927).

Almost surely, 2260430688 is an apocalyptic number.

260430688 is a gapful number since it is divisible by the number (28) 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 260430688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305565372).

260430688 is an abundant number, since it is smaller than the sum of its proper divisors (350700056).

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

260430688 is a wasteful number, since it uses less digits than its factorization.

260430688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 260430688 is about 16137.8650384740. The cubic root of 260430688 is about 638.6026544476.

The spelling of 260430688 in words is "two hundred sixty million, four hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 82 98 112 164 196 224 287 328 392 574 656 784 1148 1312 1568 2009 2296 4018 4051 4592 8036 8102 9184 16072 16204 28357 32144 32408 56714 64288 64816 113428 129632 166091 198499 226856 332182 396998 453712 664364 793996 907424 1162637 1328728 1587992 2325274 2657456 3175984 4650548 5314912 6351968 8138459 9301096 16276918 18602192 32553836 37204384 65107672 130215344 260430688