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1983696 = 2431113172
BaseRepresentation
bin111100100010011010000
310201210010020
413210103100
51001434241
6110303440
722601241
oct7442320
93653106
101983696
111135420
127b7b80
13545bb0
14398cc8
15292b66
hex1e44d0

1983696 has 120 divisors (see below), whose sum is σ = 6395424. Its totient is φ = 522240.

The previous prime is 1983689. The next prime is 1983697. The reversal of 1983696 is 6963891.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116680 + ... + 116696.

21983696 is an apocalyptic number.

1983696 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 1983696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197712).

1983696 is an abundant number, since it is smaller than the sum of its proper divisors (4411728).

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

1983696 is a wasteful number, since it uses less digits than its factorization.

1983696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 46 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 1983696 is about 1408.4374320501. The cubic root of 1983696 is about 125.6488078934.

The spelling of 1983696 in words is "one million, nine hundred eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 17 22 24 26 33 34 39 44 48 51 52 66 68 78 88 102 104 132 136 143 156 176 187 204 208 221 264 272 286 289 312 374 408 429 442 528 561 572 578 624 663 748 816 858 867 884 1122 1144 1156 1326 1496 1716 1734 1768 2244 2288 2312 2431 2652 2992 3179 3432 3468 3536 3757 4488 4624 4862 5304 6358 6864 6936 7293 7514 8976 9537 9724 10608 11271 12716 13872 14586 15028 19074 19448 22542 25432 29172 30056 38148 38896 41327 45084 50864 58344 60112 76296 82654 90168 116688 123981 152592 165308 180336 247962 330616 495924 661232 991848 1983696