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201402120 = 23355331667
BaseRepresentation
bin11000000000100…
…10011100001000
3112000222021202210
430000102130020
5403024331440
631552425120
74663614123
oct1400223410
9460867683
10201402120
11a3760437
12575481a0
133295856a
141ca693ba
1512a34a80
hexc012708

201402120 has 64 divisors (see below), whose sum is σ = 615625920. Its totient is φ = 52692224.

The previous prime is 201402119. The next prime is 201402143. The reversal of 201402120 is 21204102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201402096 and 201402105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9474 + ... + 22193.

It is an arithmetic number, because the mean of its divisors is an integer number (9619155).

Almost surely, 2201402120 is an apocalyptic number.

201402120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201402120 is an abundant number, since it is smaller than the sum of its proper divisors (414223800).

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

201402120 is a wasteful number, since it uses less digits than its factorization.

201402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31734 (or 31730 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 201402120 is about 14191.6214718403. The cubic root of 201402120 is about 586.1669743596.

Adding to 201402120 its reverse (21204102), we get a palindrome (222606222).

The spelling of 201402120 in words is "two hundred one million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 31667 63334 95001 126668 158335 190002 253336 316670 380004 475005 633340 760008 950010 1266680 1678351 1900020 3356702 3800040 5035053 6713404 8391755 10070106 13426808 16783510 20140212 25175265 33567020 40280424 50350530 67134040 100701060 201402120