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151916130 = 232512713291
BaseRepresentation
bin10010000111000…
…00111001100010
3101120212010202100
421003200321202
5302342304010
623024031230
73523160112
oct1103407142
9346763670
10151916130
1178830923
1242a62516
1325620102
1416267042
15d50c2c0
hex90e0e62

151916130 has 48 divisors (see below), whose sum is σ = 398121984. Its totient is φ = 40188960.

The previous prime is 151916129. The next prime is 151916137. The reversal of 151916130 is 31619151.

151916130 is a `hidden beast` number, since 1 + 519 + 16 + 130 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151916094 and 151916103.

It is not an unprimeable number, because it can be changed into a prime (151916137) 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 23 ways as a sum of consecutive naturals, for example, 4785 + ... + 18075.

It is an arithmetic number, because the mean of its divisors is an integer number (8294208).

Almost surely, 2151916130 is an apocalyptic number.

151916130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151916130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199060992).

151916130 is an abundant number, since it is smaller than the sum of its proper divisors (246205854).

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

151916130 is a wasteful number, since it uses less digits than its factorization.

151916130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13431 (or 13428 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 151916130 is about 12325.4261589610. The cubic root of 151916130 is about 533.5821542965.

It can be divided in two parts, 15191 and 6130, that added together give a triangular number (21321 = T206).

The spelling of 151916130 in words is "one hundred fifty-one million, nine hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 3810 5715 11430 13291 26582 39873 66455 79746 119619 132910 199365 239238 398730 598095 1196190 1687957 3375914 5063871 8439785 10127742 15191613 16879570 25319355 30383226 50638710 75958065 151916130