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147070944 = 25331721931
BaseRepresentation
bin10001100010000…
…01111111100000
3101020201222102000
420301001333200
5300122232234
622332124000
73434040156
oct1061017740
9336658360
10147070944
1176021639
1241306600
1324614937
14157653d6
15cda1899
hex8c41fe0

147070944 has 288 divisors, whose sum is σ = 495129600. Its totient is φ = 42301440.

The previous prime is 147070921. The next prime is 147070981. The reversal of 147070944 is 449070741.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1470709442 = 43259725138102272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 147070899 and 147070908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4744209 + ... + 4744239.

It is an arithmetic number, because the mean of its divisors is an integer number (1719200).

Almost surely, 2147070944 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 147070944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247564800).

147070944 is an abundant number, since it is smaller than the sum of its proper divisors (348058656).

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

147070944 is a wasteful number, since it uses less digits than its factorization.

147070944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 147070944 is about 12127.2809813247. The cubic root of 147070944 is about 527.8480967982.

The spelling of 147070944 in words is "one hundred forty-seven million, seventy thousand, nine hundred forty-four".