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152015820 = 223511230327
BaseRepresentation
bin10010000111110…
…01001111001100
3101121001012111120
421003321033030
5302404001240
623030120540
73524053545
oct1103711714
9347035446
10152015820
1178899810
1242ab0150
13256565b8
14162914cc
15d52bad0
hex90f93cc

152015820 has 48 divisors (see below), whose sum is σ = 464341248. Its totient is φ = 36852160.

The previous prime is 152015803. The next prime is 152015833. The reversal of 152015820 is 28510251.

152015820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 114504 + ... + 115823.

It is an arithmetic number, because the mean of its divisors is an integer number (9673776).

Almost surely, 2152015820 is an apocalyptic number.

152015820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152015820 is an abundant number, since it is smaller than the sum of its proper divisors (312325428).

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

152015820 is a wasteful number, since it uses less digits than its factorization.

152015820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230350 (or 230348 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 152015820 is about 12329.4695749655. The cubic root of 152015820 is about 533.6988440644.

The spelling of 152015820 in words is "one hundred fifty-two million, fifteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 230327 460654 690981 921308 1151635 1381962 2303270 2533597 2763924 3454905 4606540 5067194 6909810 7600791 10134388 12667985 13819620 15201582 25335970 30403164 38003955 50671940 76007910 152015820