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468106660 = 225773163281
BaseRepresentation
bin11011111001101…
…011110110100100
31012121211021121201
4123321223312210
51424313403120
6114241052244
714412561310
oct3371536644
91177737551
10468106660
1122026350a
12110927084
1375c993b8
1446252b40
152b16840a
hex1be6bda4

468106660 has 96 divisors (see below), whose sum is σ = 1149910272. Its totient is φ = 156764160.

The previous prime is 468106657. The next prime is 468106663. The reversal of 468106660 is 66601864.

It is an interprime number because it is at equal distance from previous prime (468106657) and next prime (468106663).

It is not an unprimeable number, because it can be changed into a prime (468106663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665720 + ... + 1666000.

It is an arithmetic number, because the mean of its divisors is an integer number (11978232).

Almost surely, 2468106660 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 468106660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574955136).

468106660 is an abundant number, since it is smaller than the sum of its proper divisors (681803612).

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

468106660 is a wasteful number, since it uses less digits than its factorization.

468106660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 468106660 is about 21635.7726924647. The cubic root of 468106660 is about 776.4525847682.

The spelling of 468106660 in words is "four hundred sixty-eight million, one hundred six thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 163 281 292 326 365 511 562 652 730 815 1022 1124 1141 1405 1460 1630 1967 2044 2282 2555 2810 3260 3934 4564 5110 5620 5705 7868 9835 10220 11410 11899 19670 20513 22820 23798 39340 41026 45803 47596 59495 82052 83293 91606 102565 118990 143591 166586 183212 205130 229015 237980 287182 320621 333172 410260 416465 458030 574364 641242 717955 832930 916060 1282484 1435910 1603105 1665860 2871820 3206210 3343619 6412420 6687238 13374476 16718095 23405333 33436190 46810666 66872380 93621332 117026665 234053330 468106660