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412420260 = 223572151929
BaseRepresentation
bin11000100101010…
…000100010100100
31001202001010020110
4120211100202210
51321034422020
6104531333020
713135341300
oct3045204244
91052033213
10412420260
111a188949a
12b6151170
136759c975
143cab8d00
15263188e0
hex189508a4

412420260 has 144 divisors (see below), whose sum is σ = 1353663360. Its totient is φ = 93542400.

The previous prime is 412420259. The next prime is 412420273. The reversal of 412420260 is 62024214.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443476 + ... + 444404.

It is an arithmetic number, because the mean of its divisors is an integer number (9400440).

Almost surely, 2412420260 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 412420260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676831680).

412420260 is an abundant number, since it is smaller than the sum of its proper divisors (941243100).

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

412420260 is a wasteful number, since it uses less digits than its factorization.

412420260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 412420260 is about 20308.1328536131. The cubic root of 412420260 is about 744.3548067778.

Adding to 412420260 its reverse (62024214), we get a palindrome (474444474).

The spelling of 412420260 in words is "four hundred twelve million, four hundred twenty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 151 196 210 245 294 302 420 453 490 588 604 735 755 906 929 980 1057 1470 1510 1812 1858 2114 2265 2787 2940 3020 3171 3716 4228 4530 4645 5285 5574 6342 6503 7399 9060 9290 10570 11148 12684 13006 13935 14798 15855 18580 19509 21140 22197 26012 27870 29596 31710 32515 36995 39018 44394 45521 55740 63420 65030 73990 78036 88788 91042 97545 110985 130060 136563 140279 147980 182084 195090 221970 227605 273126 280558 390180 420837 443940 455210 546252 561116 682815 701395 841674 910420 981953 1365630 1402790 1683348 1963906 2104185 2731260 2805580 2945859 3927812 4208370 4909765 5891718 6873671 8416740 9819530 11783436 13747342 14729295 19639060 20621013 27494684 29458590 34368355 41242026 58917180 68736710 82484052 103105065 137473420 206210130 412420260