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402150114 = 232375311393
BaseRepresentation
bin10111111110000…
…101001011100010
31001000201100020200
4113332011023202
51310422300424
6103523250030
712652135212
oct2776051342
91030640220
10402150114
11197004373
12b2819916
1365415162
143b5a4242
152548a8c9
hex17f852e2

402150114 has 48 divisors (see below), whose sum is σ = 911839032. Its totient is φ = 127954944.

The previous prime is 402150109. The next prime is 402150121. The reversal of 402150114 is 411051204.

402150114 is a `hidden beast` number, since 402 + 150 + 114 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 399800025 + 2350089 = 19995^2 + 1533^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 29602 + ... + 40994.

Almost surely, 2402150114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402150114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455919516).

402150114 is an abundant number, since it is smaller than the sum of its proper divisors (509688918).

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

402150114 is a wasteful number, since it uses less digits than its factorization.

402150114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11491 (or 11488 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 402150114 is about 20053.6808092679. The cubic root of 402150114 is about 738.1241226001.

It can be divided in two parts, 402150 and 114, that multiplied together give a triangular number (45845100 = T9575).

The spelling of 402150114 in words is "four hundred two million, one hundred fifty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 318 333 477 666 954 1961 3922 5883 11393 11766 17649 22786 34179 35298 68358 102537 205074 421541 603829 843082 1207658 1264623 1811487 2529246 3622974 3793869 5434461 7587738 10868922 22341673 44683346 67025019 134050038 201075057 402150114