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980572005 = 325731100417
BaseRepresentation
bin111010011100100…
…101011101100101
32112100010012220200
4322130211131211
54002011301010
6241145021113
733204503340
oct7234453545
92470105820
10980572005
11463564296
12234484799
131281c722a
1494331457
155b144cc0
hex3a725765

980572005 has 48 divisors (see below), whose sum is σ = 2005146624. Its totient is φ = 433797120.

The previous prime is 980571997. The next prime is 980572009. The reversal of 980572005 is 500275089.

980572005 is a `hidden beast` number, since 9 + 80 + 572 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 980572005 - 23 = 980571997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980572009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40444 + ... + 59973.

It is an arithmetic number, because the mean of its divisors is an integer number (41773888).

Almost surely, 2980572005 is an apocalyptic number.

It is an amenable number.

980572005 is an abundant number, since it is smaller than the sum of its proper divisors (1024574619).

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

980572005 is a wasteful number, since it uses less digits than its factorization.

980572005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100466 (or 100463 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 980572005 is about 31314.0863670010. The cubic root of 980572005 is about 993.4816045080.

It can be divided in two parts, 9805 and 72005, that added together give a triangular number (81810 = T404).

The spelling of 980572005 in words is "nine hundred eighty million, five hundred seventy-two thousand, five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 9765 100417 301251 502085 702919 903753 1506255 2108757 3112927 3514595 4518765 6326271 9338781 10543785 15564635 21790489 28016343 31631355 46693905 65371467 108952445 140081715 196114401 326857335 980572005