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9981696 = 28341317
BaseRepresentation
bin100110000100…
…111100000000
3200210010022110
4212010330000
510023403241
6553535320
7150562104
oct46047400
920703273
109981696
1156a843a
123414540
1320b643a
14147b904
15d22816
hex984f00

9981696 has 72 divisors (see below), whose sum is σ = 27299664. Its totient is φ = 3235840.

The previous prime is 9981691. The next prime is 9981731. The reversal of 9981696 is 6961899.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9981691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31330 + ... + 31646.

It is an arithmetic number, because the mean of its divisors is an integer number (379162).

Almost surely, 29981696 is an apocalyptic number.

9981696 is a gapful number since it is divisible by the number (96) 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 9981696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13649832).

9981696 is an abundant number, since it is smaller than the sum of its proper divisors (17317968).

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

9981696 is a wasteful number, since it uses less digits than its factorization.

9981696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its digits is 209952, while the sum is 48.

The square root of 9981696 is about 3159.3822180926. The cubic root of 9981696 is about 215.3119394781.

The spelling of 9981696 in words is "nine million, nine hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 317 328 384 492 634 656 768 951 984 1268 1312 1902 1968 2536 2624 3804 3936 5072 5248 7608 7872 10144 10496 12997 15216 15744 20288 25994 30432 31488 38991 40576 51988 60864 77982 81152 103976 121728 155964 207952 243456 311928 415904 623856 831808 1247712 1663616 2495424 3327232 4990848 9981696