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1320693516 = 2232731972551
BaseRepresentation
bin100111010111000…
…0010111100001100
310102001010011220200
41032232002330030
510201044143031
6335015013500
744504465262
oct11656027414
93361104820
101320693516
1161855164a
1230a36a290
13180801c6c
14c758a432
157ae2b8e6
hex4eb82f0c

1320693516 has 72 divisors (see below), whose sum is σ = 3402663264. Its totient is φ = 431827200.

The previous prime is 1320693499. The next prime is 1320693541. The reversal of 1320693516 is 6153960231.

1320693516 is a `hidden beast` number, since 132 + 0 + 6 + 9 + 3 + 516 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516441 + ... + 518991.

It is an arithmetic number, because the mean of its divisors is an integer number (47259212).

Almost surely, 21320693516 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 1320693516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701331632).

1320693516 is an abundant number, since it is smaller than the sum of its proper divisors (2081969748).

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

1320693516 is a wasteful number, since it uses less digits than its factorization.

1320693516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1320693516 is about 36341.3471957218. The cubic root of 1320693516 is about 1097.1533880186.

The spelling of 1320693516 in words is "one billion, three hundred twenty million, six hundred ninety-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 197 219 292 394 438 591 657 788 876 1182 1314 1773 2364 2551 2628 3546 5102 7092 7653 10204 14381 15306 22959 28762 30612 43143 45918 57524 86286 91836 129429 172572 186223 258858 372446 502547 517716 558669 744892 1005094 1117338 1507641 1676007 2010188 2234676 3015282 3352014 4522923 6030564 6704028 9045846 18091692 36685931 73371862 110057793 146743724 220115586 330173379 440231172 660346758 1320693516