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13196640 = 2535191447
BaseRepresentation
bin110010010101…
…110101100000
3220211110101110
4302111311200
511334243030
61150503320
7220112112
oct62256540
926743343
1013196640
1174a3916
124504b40
132970882
141a773b2
15125a1b0
hexc95d60

13196640 has 96 divisors (see below), whose sum is σ = 43787520. Its totient is φ = 3331584.

The previous prime is 13196633. The next prime is 13196647. The reversal of 13196640 is 4669131.

It is an interprime number because it is at equal distance from previous prime (13196633) and next prime (13196647).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13196598 and 13196607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13196647) 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 15 ways as a sum of consecutive naturals, for example, 8397 + ... + 9843.

It is an arithmetic number, because the mean of its divisors is an integer number (456120).

Almost surely, 213196640 is an apocalyptic number.

13196640 is a gapful number since it is divisible by the number (10) 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 13196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21893760).

13196640 is an abundant number, since it is smaller than the sum of its proper divisors (30590880).

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

13196640 is a wasteful number, since it uses less digits than its factorization.

13196640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13196640 is about 3632.7179907061. The cubic root of 13196640 is about 236.3130958821.

The spelling of 13196640 in words is "thirteen million, one hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1447 1520 1824 2280 2894 3040 4341 4560 5788 7235 8682 9120 11576 14470 17364 21705 23152 27493 28940 34728 43410 46304 54986 57880 69456 82479 86820 109972 115760 137465 138912 164958 173640 219944 231520 274930 329916 347280 412395 439888 549860 659832 694560 824790 879776 1099720 1319664 1649580 2199440 2639328 3299160 4398880 6598320 13196640