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402000200 = 235271012843
BaseRepresentation
bin10111111101100…
…000100101001000
31001000102201121022
4113331200211020
51310403001300
6103520132012
712650642150
oct2775404510
91030381538
10402000200
11196a11778
12b2767008
1365391b54
143b565760
152545b285
hex17f60948

402000200 has 96 divisors (see below), whose sum is σ = 1079127360. Its totient is φ = 136416000.

The previous prime is 402000199. The next prime is 402000239. The reversal of 402000200 is 2000204.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139979 + ... + 142821.

It is an arithmetic number, because the mean of its divisors is an integer number (11240910).

Almost surely, 2402000200 is an apocalyptic number.

402000200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539563680).

402000200 is an abundant number, since it is smaller than the sum of its proper divisors (677127160).

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

402000200 is a wasteful number, since it uses less digits than its factorization.

402000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 402000200 is about 20049.9426433095. The cubic root of 402000200 is about 738.0323916032.

Adding to 402000200 its reverse (2000204), we get a palindrome (404000404).

The spelling of 402000200 in words is "four hundred two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 140 175 200 202 280 350 404 505 700 707 808 1010 1400 1414 2020 2525 2828 2843 3535 4040 5050 5656 5686 7070 10100 11372 14140 14215 17675 19901 20200 22744 28280 28430 35350 39802 56860 70700 71075 79604 99505 113720 141400 142150 159208 199010 284300 287143 398020 497525 568600 574286 796040 995050 1148572 1435715 1990100 2010001 2297144 2871430 3980200 4020002 5742860 7178575 8040004 10050005 11485720 14357150 16080008 20100010 28714300 40200020 50250025 57428600 80400040 100500050 201000100 402000200