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147720672 = 2535112157
BaseRepresentation
bin10001100111000…
…00100111100000
3101021221222200000
420303200213200
5300304030142
622354100000
73442414341
oct1063404740
9337858600
10147720672
1176425800
124157a600
13247b15a8
14158940c8
15ce7e14c
hex8ce09e0

147720672 has 216 divisors, whose sum is σ = 481893048. Its totient is φ = 44478720.

The previous prime is 147720659. The next prime is 147720679. The reversal of 147720672 is 276027741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1477206722 = 43642793872263168, which contains 22 as substring.

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 (147720679) 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 35 ways as a sum of consecutive naturals, for example, 940818 + ... + 940974.

Almost surely, 2147720672 is an apocalyptic number.

147720672 is a gapful number since it is divisible by the number (12) 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 147720672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240946524).

147720672 is an abundant number, since it is smaller than the sum of its proper divisors (334172376).

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

147720672 is a wasteful number, since it uses less digits than its factorization.

147720672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 147720672 is about 12154.0393285525. The cubic root of 147720672 is about 528.6242616360.

The spelling of 147720672 in words is "one hundred forty-seven million, seven hundred twenty thousand, six hundred seventy-two".