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151970364 = 22337213472
BaseRepresentation
bin10010000111011…
…10001000111100
3101120221220011000
421003232020330
5302401022424
623025130300
73523504200
oct1103561074
9346856130
10151970364
1178868647
1242a89990
132563b9c0
141627cb00
15d51d3c9
hex90ee23c

151970364 has 216 divisors, whose sum is σ = 504304080. Its totient is φ = 39227328.

The previous prime is 151970333. The next prime is 151970369. The reversal of 151970364 is 463079151.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151970369) 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 71 ways as a sum of consecutive naturals, for example, 3233389 + ... + 3233435.

Almost surely, 2151970364 is an apocalyptic number.

151970364 is a gapful number since it is divisible by the number (14) 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 151970364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252152040).

151970364 is an abundant number, since it is smaller than the sum of its proper divisors (352333716).

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

151970364 is a wasteful number, since it uses less digits than its factorization.

151970364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 151970364 is about 12327.6260488384. The cubic root of 151970364 is about 533.6456429499.

The spelling of 151970364 in words is "one hundred fifty-one million, nine hundred seventy thousand, three hundred sixty-four".