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8142336 = 29331931
BaseRepresentation
bin11111000011111000000000
3120022200012000
4133003320000
54041023321
6450304000
7126131406
oct37037000
916280160
108142336
114661504
122888000
1318c1167
14111d476
15aac826
hex7c3e00

8142336 has 160 divisors (see below), whose sum is σ = 26188800. Its totient is φ = 2488320.

The previous prime is 8142319. The next prime is 8142349. The reversal of 8142336 is 6332418.

It is a happy number.

8142336 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262641 + ... + 262671.

It is an arithmetic number, because the mean of its divisors is an integer number (163680).

Almost surely, 28142336 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 8142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094400).

8142336 is an abundant number, since it is smaller than the sum of its proper divisors (18046464).

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

8142336 is a wasteful number, since it uses less digits than its factorization.

8142336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 8142336 is about 2853.4778779588. The cubic root of 8142336 is about 201.1791674905.

The spelling of 8142336 in words is "eight million, one hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 38 48 54 57 62 64 72 76 93 96 108 114 124 128 144 152 171 186 192 216 228 248 256 279 288 304 342 372 384 432 456 496 512 513 558 576 589 608 684 744 768 837 864 912 992 1026 1116 1152 1178 1216 1368 1488 1536 1674 1728 1767 1824 1984 2052 2232 2304 2356 2432 2736 2976 3348 3456 3534 3648 3968 4104 4464 4608 4712 4864 5301 5472 5952 6696 6912 7068 7296 7936 8208 8928 9424 9728 10602 10944 11904 13392 13824 14136 14592 15872 15903 16416 17856 18848 21204 21888 23808 26784 28272 29184 31806 32832 35712 37696 42408 43776 47616 53568 56544 63612 65664 71424 75392 84816 87552 107136 113088 127224 131328 142848 150784 169632 214272 226176 254448 262656 301568 339264 428544 452352 508896 678528 904704 1017792 1357056 2035584 2714112 4071168 8142336