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970152192 = 28321723147
BaseRepresentation
bin111001110100110…
…101100100000000
32111121111211121200
4321310311210000
53441324332232
6240133421200
733020105022
oct7164654400
92447454550
10970152192
11458697779
12230a9a800
13125cb9569
1492bbc012
155a28777c
hex39d35900

970152192 has 324 divisors, whose sum is σ = 3132519936. Its totient is φ = 288276480.

The previous prime is 970152149. The next prime is 970152203. The reversal of 970152192 is 291251079.

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

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 35 ways as a sum of consecutive naturals, for example, 20641513 + ... + 20641559.

Almost surely, 2970152192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970152192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566259968).

970152192 is an abundant number, since it is smaller than the sum of its proper divisors (2162367744).

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

970152192 is a wasteful number, since it uses less digits than its factorization.

970152192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 970152192 is about 31147.2662042755. The cubic root of 970152192 is about 989.9500678826.

The spelling of 970152192 in words is "nine hundred seventy million, one hundred fifty-two thousand, one hundred ninety-two".