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260400060 = 223252396053
BaseRepresentation
bin11111000010101…
…10001110111100
3200010222200201200
433201112032330
51013130300220
641501135500
76311235564
oct1741261674
9603880650
10260400060
11123a97468
127325a590
1341c4439b
1426825da4
1517cda890
hexf8563bc

260400060 has 72 divisors (see below), whose sum is σ = 793316160. Its totient is φ = 69138048.

The previous prime is 260400059. The next prime is 260400083. The reversal of 260400060 is 60004062.

260400060 is a `hidden beast` number, since 2 + 604 + 0 + 0 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 39994 + ... + 46046.

It is an arithmetic number, because the mean of its divisors is an integer number (11018280).

Almost surely, 2260400060 is an apocalyptic number.

260400060 is a gapful number since it is divisible by the number (20) 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 260400060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396658080).

260400060 is an abundant number, since it is smaller than the sum of its proper divisors (532916100).

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

260400060 is a wasteful number, since it uses less digits than its factorization.

260400060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 260400060 is about 16136.9160622468. The cubic root of 260400060 is about 638.5776191377.

The spelling of 260400060 in words is "two hundred sixty million, four hundred thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 239 478 717 956 1195 1434 2151 2390 2868 3585 4302 4780 6053 7170 8604 10755 12106 14340 18159 21510 24212 30265 36318 43020 54477 60530 72636 90795 108954 121060 181590 217908 272385 363180 544770 1089540 1446667 2893334 4340001 5786668 7233335 8680002 13020003 14466670 17360004 21700005 26040006 28933340 43400010 52080012 65100015 86800020 130200030 260400060