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402113220 = 223561181607
BaseRepresentation
bin10111111101111…
…100001011000100
31001000122110122020
4113331330023010
51310420110340
6103522403140
712651622515
oct2775741304
91030573566
10402113220
11196a89683
12b28004b0
1365401422
143b594a0c
152547e9d0
hex17f7c2c4

402113220 has 96 divisors (see below), whose sum is σ = 1152592896. Its totient is φ = 104716800.

The previous prime is 402113177. The next prime is 402113287. The reversal of 402113220 is 22311204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 402113220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662157 + ... + 662763.

It is an arithmetic number, because the mean of its divisors is an integer number (12006176).

Almost surely, 2402113220 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 402113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576296448).

402113220 is an abundant number, since it is smaller than the sum of its proper divisors (750479676).

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

402113220 is a wasteful number, since it uses less digits than its factorization.

402113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 402113220 is about 20052.7609071669. The cubic root of 402113220 is about 738.1015496162.

Adding to 402113220 its reverse (22311204), we get a palindrome (424424424).

The spelling of 402113220 in words is "four hundred two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 181 183 244 305 362 366 543 607 610 724 732 905 915 1086 1214 1220 1810 1821 1830 2172 2428 2715 3035 3620 3642 3660 5430 6070 7284 9105 10860 11041 12140 18210 22082 33123 36420 37027 44164 55205 66246 74054 109867 110410 111081 132492 148108 165615 185135 219734 220820 222162 329601 331230 370270 439468 444324 549335 555405 659202 662460 740540 1098670 1110810 1318404 1648005 2197340 2221620 3296010 6592020 6701887 13403774 20105661 26807548 33509435 40211322 67018870 80422644 100528305 134037740 201056610 402113220