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151816820 = 2257590841
BaseRepresentation
bin10010000110010…
…00101001110100
3101120200002112012
421003020221310
5302331114240
623021543352
73522264431
oct1103105164
9346602465
10151816820
1178773251
1242a14b58
13255b6b4c
141623cb88
15d4dcb65
hex90c8a74

151816820 has 12 divisors (see below), whose sum is σ = 318815364. Its totient is φ = 60726720.

The previous prime is 151816811. The next prime is 151816829. The reversal of 151816820 is 28618151.

It is an interprime number because it is at equal distance from previous prime (151816811) and next prime (151816829).

It can be written as a sum of positive squares in 2 ways, for example, as 27583504 + 124233316 = 5252^2 + 11146^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151816829) 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 3 ways as a sum of consecutive naturals, for example, 3795401 + ... + 3795440.

It is an arithmetic number, because the mean of its divisors is an integer number (26567947).

Almost surely, 2151816820 is an apocalyptic number.

151816820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151816820 is an abundant number, since it is smaller than the sum of its proper divisors (166998544).

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

151816820 is a wasteful number, since it uses less digits than its factorization.

151816820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590850 (or 7590848 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 32.

The square root of 151816820 is about 12321.3968363981. The cubic root of 151816820 is about 533.4658585598.

The spelling of 151816820 in words is "one hundred fifty-one million, eight hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 7590841 15181682 30363364 37954205 75908410 151816820