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980474880 = 21035711829
BaseRepresentation
bin111010011100001…
…101110000000000
32112022221021200110
4322130031300000
54002000144010
6241142551320
733203620230
oct7234156000
92468837613
10980474880
114634a8320
12234438540
13128191c68
1494307cc0
155b126120
hex3a70dc00

980474880 has 352 divisors, whose sum is σ = 3914519040. Its totient is φ = 203489280.

The previous prime is 980474867. The next prime is 980474893. The reversal of 980474880 is 88474089.

It is an interprime number because it is at equal distance from previous prime (980474867) and next prime (980474893).

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×9804748802 = 1922661980622028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182306 + ... + 1183134.

Almost surely, 2980474880 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 980474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957259520).

980474880 is an abundant number, since it is smaller than the sum of its proper divisors (2934044160).

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

980474880 is a wasteful number, since it uses less digits than its factorization.

980474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 980474880 is about 31312.5355089619. The cubic root of 980474880 is about 993.4488021959.

The spelling of 980474880 in words is "nine hundred eighty million, four hundred seventy-four thousand, eight hundred eighty".