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152882840 = 235112315107
BaseRepresentation
bin10010001110011…
…00111010011000
3101122200020211102
421013030322120
5303114222330
623100450532
73534324365
oct1107147230
9348606742
10152882840
1179331160
1243249a48
132589b126
141643946c
15d64d945
hex91cce98

152882840 has 64 divisors (see below), whose sum is σ = 391599360. Its totient is φ = 53173120.

The previous prime is 152882839. The next prime is 152882843. The reversal of 152882840 is 48288251.

152882840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 152882794 and 152882803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152882843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2567 + ... + 17673.

It is an arithmetic number, because the mean of its divisors is an integer number (6118740).

Almost surely, 2152882840 is an apocalyptic number.

152882840 is a gapful number since it is divisible by the number (10) 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 152882840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195799680).

152882840 is an abundant number, since it is smaller than the sum of its proper divisors (238716520).

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

152882840 is a wasteful number, since it uses less digits than its factorization.

152882840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15152 (or 15148 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 152882840 is about 12364.5800575677. The cubic root of 152882840 is about 534.7115689872.

The spelling of 152882840 in words is "one hundred fifty-two million, eight hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 15107 30214 60428 75535 120856 151070 166177 302140 332354 347461 604280 664708 694922 830885 1329416 1389844 1661770 1737305 2779688 3323540 3474610 3822071 6647080 6949220 7644142 13898440 15288284 19110355 30576568 38220710 76441420 152882840