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1080117972 = 223261491857
BaseRepresentation
bin100000001100001…
…0100101011010100
32210021102200022100
41000120110223110
54203002233342
6255102402100
735523564663
oct10030245324
92707380270
101080117972
1150477568a
12261890330
13142a0c17b
14a3644dda
1564c59e4c
hex40614ad4

1080117972 has 36 divisors (see below), whose sum is σ = 2775062836. Its totient is φ = 354136320.

The previous prime is 1080117953. The next prime is 1080117977. The reversal of 1080117972 is 2797110801.

It can be written as a sum of positive squares in 2 ways, for example, as 325297296 + 754820676 = 18036^2 + 27474^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080117977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243733 + ... + 248124.

Almost surely, 21080117972 is an apocalyptic number.

1080117972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1080117972 is an abundant number, since it is smaller than the sum of its proper divisors (1694944864).

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

1080117972 is a wasteful number, since it uses less digits than its factorization.

1080117972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491928 (or 491923 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 1080117972 is about 32865.1482881182. The cubic root of 1080117972 is about 1026.0229239204.

The spelling of 1080117972 in words is "one billion, eighty million, one hundred seventeen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 491857 983714 1475571 1967428 2951142 4426713 5902284 8853426 17706852 30003277 60006554 90009831 120013108 180019662 270029493 360039324 540058986 1080117972