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980874720 = 253257314373
BaseRepresentation
bin111010011101101…
…111010111100000
32112100200121011100
4322131233113200
54002100442340
6241155314400
733210204030
oct7235572740
92470617140
10980874720
11463750771
122345aba00
131282a1c57
14943ad8c0
155b1a4830
hex3a76f5e0

980874720 has 576 divisors, whose sum is σ = 4095995904. Its totient is φ = 209018880.

The previous prime is 980874703. The next prime is 980874733. The reversal of 980874720 is 27478089.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13436604 + ... + 13436676.

It is an arithmetic number, because the mean of its divisors is an integer number (7111104).

Almost surely, 2980874720 is an apocalyptic number.

980874720 is a gapful number since it is divisible by the number (90) 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 980874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047997952).

980874720 is an abundant number, since it is smaller than the sum of its proper divisors (3115121184).

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

980874720 is a wasteful number, since it uses less digits than its factorization.

980874720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 980874720 is about 31318.9195215927. The cubic root of 980874720 is about 993.5838274418.

The spelling of 980874720 in words is "nine hundred eighty million, eight hundred seventy-four thousand, seven hundred twenty".