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147470400 = 263252721119
BaseRepresentation
bin10001100101000…
…11100001000000
3101021111021100200
420302203201000
5300223023100
622344445200
73440322600
oct1062434100
9337437320
10147470400
1176274770
1241479800
13247246bc
141582ac00
15ce2ee00
hex8ca3840

147470400 has 756 divisors, whose sum is σ = 700156080. Its totient is φ = 29030400.

The previous prime is 147470387. The next prime is 147470429. The reversal of 147470400 is 4074741.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7761591 + ... + 7761609.

Almost surely, 2147470400 is an apocalyptic number.

147470400 is a gapful number since it is divisible by the number (10) 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 147470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350078040).

147470400 is an abundant number, since it is smaller than the sum of its proper divisors (552685680).

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

147470400 is a wasteful number, since it uses less digits than its factorization.

147470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 147470400 is about 12143.7391276328. The cubic root of 147470400 is about 528.3255568011.

The spelling of 147470400 in words is "one hundred forty-seven million, four hundred seventy thousand, four hundred".