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1196965056 = 26373128729
BaseRepresentation
bin100011101011000…
…0011110011000000
310002102022010101010
41013112003303000
54422410340211
6314435040520
741443015020
oct10726036300
93072263333
101196965056
11564723621
12294a40140
13160ca0c61
14b4d7da80
157013b4a6
hex47583cc0

1196965056 has 112 divisors (see below), whose sum is σ = 3736279040. Its totient is φ = 330946560.

The previous prime is 1196964959. The next prime is 1196965061. The reversal of 1196965056 is 6505696911.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 1196964996 and 1196965014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27300 + ... + 56028.

Almost surely, 21196965056 is an apocalyptic number.

1196965056 is a gapful number since it is divisible by the number (16) 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 1196965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868139520).

1196965056 is an abundant number, since it is smaller than the sum of its proper divisors (2539313984).

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

1196965056 is a wasteful number, since it uses less digits than its factorization.

1196965056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28782 (or 28772 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The square root of 1196965056 is about 34597.1827754804. The cubic root of 1196965056 is about 1061.7619491906.

The spelling of 1196965056 in words is "one billion, one hundred ninety-six million, nine hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 28729 41664 57458 86187 114916 172374 201103 229832 344748 402206 459664 603309 689496 804412 890599 919328 1206618 1378992 1608824 1781198 1838656 2413236 2671797 2757984 3217648 3562396 4826472 5343594 5515968 6234193 6435296 7124792 9652944 10687188 12468386 12870592 14249584 18702579 19305888 21374376 24936772 28499168 37405158 38611776 42748752 49873544 56998336 74810316 85497504 99747088 149620632 170995008 199494176 299241264 398988352 598482528 1196965056