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5996376 = 2333172371
BaseRepresentation
bin10110110111111101011000
3102021122111000
4112313331120
53013341001
6332305000
7101653101
oct26677530
912248430
105996376
113426191
122012160
13131c469
14b213a8
157d6a86
hex5b7f58

5996376 has 128 divisors (see below), whose sum is σ = 18662400. Its totient is φ = 1774080.

The previous prime is 5996371. The next prime is 5996407. The reversal of 5996376 is 6736995.

5996376 is a `hidden beast` number, since 5 + 9 + 9 + 637 + 6 = 666.

Its product of digits (306180) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5996371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84421 + ... + 84491.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

Almost surely, 25996376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5996376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331200).

5996376 is an abundant number, since it is smaller than the sum of its proper divisors (12666024).

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

5996376 is a wasteful number, since it uses less digits than its factorization.

5996376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 5996376 is about 2448.7498851455. The cubic root of 5996376 is about 181.6754672204.

The spelling of 5996376 in words is "five million, nine hundred ninety-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 27 34 36 46 51 54 68 69 71 72 92 102 108 136 138 142 153 184 204 207 213 216 276 284 306 391 408 414 426 459 552 568 612 621 639 782 828 852 918 1173 1207 1224 1242 1278 1564 1633 1656 1704 1836 1917 2346 2414 2484 2556 3128 3266 3519 3621 3672 3834 4692 4828 4899 4968 5112 6532 7038 7242 7668 9384 9656 9798 10557 10863 13064 14076 14484 14697 15336 19596 21114 21726 27761 28152 28968 29394 32589 39192 42228 43452 44091 55522 58788 65178 83283 84456 86904 88182 111044 117576 130356 166566 176364 222088 249849 260712 333132 352728 499698 666264 749547 999396 1499094 1998792 2998188 5996376