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980567640 = 2333513211331
BaseRepresentation
bin111010011100100…
…100011001011000
32112100002222221000
4322130210121120
54002011131030
6241144545000
733204454533
oct7234443130
92470088830
10980567640
11463560a88
12234482160
131281c5250
149432da1a
155b143860
hex3a724658

980567640 has 256 divisors, whose sum is σ = 3547353600. Its totient is φ = 239500800.

The previous prime is 980567639. The next prime is 980567663. The reversal of 980567640 is 46765089.

980567640 is a `hidden beast` number, since 9 + 80 + 567 + 6 + 4 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2962275 + ... + 2962605.

It is an arithmetic number, because the mean of its divisors is an integer number (13856850).

Almost surely, 2980567640 is an apocalyptic number.

980567640 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 980567640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773676800).

980567640 is an abundant number, since it is smaller than the sum of its proper divisors (2566785960).

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

980567640 is a wasteful number, since it uses less digits than its factorization.

980567640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 980567640 is about 31314.0166698557. The cubic root of 980567640 is about 993.4801303501.

The spelling of 980567640 in words is "nine hundred eighty million, five hundred sixty-seven thousand, six hundred forty".