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153360042 = 23113762801
BaseRepresentation
bin10010010010000…
…01011010101010
3101200120111102120
421021001122222
5303230010132
623115012110
73541352553
oct1111013252
9350514376
10153360042
1179627740
124343a036
1325a073b4
141652132a
15d6e502c
hex92416aa

153360042 has 32 divisors (see below), whose sum is σ = 343652544. Its totient is φ = 45216000.

The previous prime is 153360041. The next prime is 153360047. The reversal of 153360042 is 240063351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 153359994 and 153360021.

It is not an unprimeable number, because it can be changed into a prime (153360041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28959 + ... + 33842.

It is an arithmetic number, because the mean of its divisors is an integer number (10739142).

Almost surely, 2153360042 is an apocalyptic number.

153360042 is an abundant number, since it is smaller than the sum of its proper divisors (190292502).

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

153360042 is a wasteful number, since it uses less digits than its factorization.

153360042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62854.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 153360042 is about 12383.8621600856. The cubic root of 153360042 is about 535.2673331311.

The spelling of 153360042 in words is "one hundred fifty-three million, three hundred sixty thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 62801 125602 188403 376806 690811 1381622 2072433 2323637 4144866 4647274 6970911 13941822 25560007 51120014 76680021 153360042