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996399138 = 2371741101337
BaseRepresentation
bin111011011000111…
…101100000100010
32120102220022122210
4323120331200202
54020034233023
6242512142550
733456152520
oct7330754042
92512808583
10996399138
11471494469
12239837a56
1312b5791b7
1496491310
155c71e593
hex3b63d822

996399138 has 128 divisors (see below), whose sum is σ = 2502130176. Its totient is φ = 258048000.

The previous prime is 996399137. The next prime is 996399149. The reversal of 996399138 is 831993699.

996399138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9963991382 = 1985622484414286088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (996399133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2956506 + ... + 2956842.

It is an arithmetic number, because the mean of its divisors is an integer number (19547892).

Almost surely, 2996399138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996399138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251065088).

996399138 is an abundant number, since it is smaller than the sum of its proper divisors (1505731038).

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

996399138 is a wasteful number, since it uses less digits than its factorization.

996399138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508.

The product of its digits is 2834352, while the sum is 57.

The square root of 996399138 is about 31565.7906284636. The cubic root of 996399138 is about 998.7982690880.

The spelling of 996399138 in words is "nine hundred ninety-six million, three hundred ninety-nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 34 41 42 51 82 101 102 119 123 202 238 246 287 303 337 357 574 606 674 697 707 714 861 1011 1394 1414 1717 1722 2022 2091 2121 2359 3434 4141 4182 4242 4718 4879 5151 5729 7077 8282 9758 10302 11458 12019 12423 13817 14154 14637 17187 24038 24846 27634 28987 29274 34037 34374 36057 40103 41451 57974 68074 70397 72114 80206 82902 86961 96719 102111 120309 140794 173922 193438 204222 211191 234889 238259 240618 290157 422382 469778 476518 492779 578629 580314 704667 714777 985558 1157258 1395517 1409334 1429554 1478337 1644223 1735887 2791034 2956674 3288446 3471774 4050403 4186551 4932669 8100806 8373102 9768619 9865338 12151209 19537238 23723789 24302418 29305857 47447578 58611714 71171367 142342734 166066523 332133046 498199569 996399138