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260420352 = 283232641
BaseRepresentation
bin11111000010110…
…11001100000000
3200011000201120020
433201123030000
51013131422402
641501413440
76311352003
oct1741331400
9604021506
10260420352
11124000735
127326a280
1341c506aa
142682d53a
1517ce18bc
hexf85b300

260420352 has 108 divisors (see below), whose sum is σ = 725673144. Its totient is φ = 82903040.

The previous prime is 260420339. The next prime is 260420353. The reversal of 260420352 is 253024062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (260420353) 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, 405952 + ... + 406592.

Almost surely, 2260420352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362836572).

260420352 is an abundant number, since it is smaller than the sum of its proper divisors (465252792).

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

260420352 is an equidigital number, since it uses as much as digits as its factorization.

260420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 260420352 is about 16137.5447946706. The cubic root of 260420352 is about 638.5942060265.

The spelling of 260420352 in words is "two hundred sixty million, four hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 529 552 641 736 768 1058 1104 1282 1472 1587 1923 2116 2208 2564 2944 3174 3846 4232 4416 5128 5888 6348 7692 8464 8832 10256 12696 14743 15384 16928 17664 20512 25392 29486 30768 33856 41024 44229 50784 58972 61536 67712 82048 88458 101568 117944 123072 135424 164096 176916 203136 235888 246144 339089 353832 406272 471776 492288 678178 707664 943552 1017267 1356356 1415328 1887104 2034534 2712712 2830656 3774208 4069068 5425424 5661312 8138136 10850848 11322624 16276272 21701696 32552544 43403392 65105088 86806784 130210176 260420352