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152351720 = 2353808793
BaseRepresentation
bin10010001010010…
…11001111101000
3101121200021021022
421011023033220
5303000223340
623041232012
73526653053
oct1105131750
9347607238
10152351720
1178aa9114
1243032608
1325743461
141633ba9a
15d5963b5
hex914b3e8

152351720 has 16 divisors (see below), whose sum is σ = 342791460. Its totient is φ = 60940672.

The previous prime is 152351711. The next prime is 152351753. The reversal of 152351720 is 27153251.

152351720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 151240804 + 1110916 = 12298^2 + 1054^2 .

It is a super-2 number, since 2×1523517202 = 46422093173916800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152351720.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1904357 + ... + 1904436.

Almost surely, 2152351720 is an apocalyptic number.

152351720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152351720 is an abundant number, since it is smaller than the sum of its proper divisors (190439740).

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

152351720 is a wasteful number, since it uses less digits than its factorization.

152351720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808804 (or 3808800 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 152351720 is about 12343.0838934198. The cubic root of 152351720 is about 534.0916487154.

It can be divided in two parts, 15 and 2351720, that multiplied together give a triangular number (35275800 = T8399).

The spelling of 152351720 in words is "one hundred fifty-two million, three hundred fifty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3808793 7617586 15235172 19043965 30470344 38087930 76175860 152351720