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406098660 = 2235115211181
BaseRepresentation
bin11000001101001…
…001001011100100
31001022010221122010
4120031021023210
51312430124120
6104144034220
713030532052
oct3015111344
91038127563
10406098660
11199260a30
12b4002970
1366198486
143bd111d2
15259ba7e0
hex183492e4

406098660 has 96 divisors (see below), whose sum is σ = 1243880064. Its totient is φ = 98176000.

The previous prime is 406098617. The next prime is 406098701. The reversal of 406098660 is 66890604.

It is a super-2 number, since 2×4060986602 = 329832243307591200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343270 + ... + 344450.

It is an arithmetic number, because the mean of its divisors is an integer number (12957084).

Almost surely, 2406098660 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 406098660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621940032).

406098660 is an abundant number, since it is smaller than the sum of its proper divisors (837781404).

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

406098660 is a wasteful number, since it uses less digits than its factorization.

406098660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 406098660 is about 20151.8897376896. The cubic root of 406098660 is about 740.5320376474.

The spelling of 406098660 in words is "four hundred six million, ninety-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 521 660 1042 1181 1563 2084 2362 2605 3126 3543 4724 5210 5731 5905 6252 7086 7815 10420 11462 11810 12991 14172 15630 17193 17715 22924 23620 25982 28655 31260 34386 35430 38973 51964 57310 64955 68772 70860 77946 85965 114620 129910 155892 171930 194865 259820 343860 389730 615301 779460 1230602 1845903 2461204 3076505 3691806 6153010 6768311 7383612 9229515 12306020 13536622 18459030 20304933 27073244 33841555 36918060 40609866 67683110 81219732 101524665 135366220 203049330 406098660