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402099980 = 225177116657
BaseRepresentation
bin10111111101111…
…000111100001100
31001000121210110212
4113331320330030
51310414144410
6103522221552
712651536102
oct2775707414
91030553425
10402099980
11196a7a737
12b27b48b8
13653c83a9
143b58dc72
152547ab05
hex17f78f0c

402099980 has 48 divisors (see below), whose sum is σ = 906728256. Its totient is φ = 149237760.

The previous prime is 402099959. The next prime is 402099989. The reversal of 402099980 is 89990204.

It is not an unprimeable number, because it can be changed into a prime (402099989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15812 + ... + 32468.

It is an arithmetic number, because the mean of its divisors is an integer number (18890172).

Almost surely, 2402099980 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 402099980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453364128).

402099980 is an abundant number, since it is smaller than the sum of its proper divisors (504628276).

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

402099980 is a wasteful number, since it uses less digits than its factorization.

402099980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16754 (or 16752 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 402099980 is about 20052.4307753449. The cubic root of 402099980 is about 738.0934486044.

The spelling of 402099980 in words is "four hundred two million, ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 4828 6035 12070 16657 24140 33314 66628 83285 166570 283169 333140 566338 1132676 1182647 1415845 2365294 2831690 4730588 5663380 5913235 11826470 20104999 23652940 40209998 80419996 100524995 201049990 402099980