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6129396 = 22327131871
BaseRepresentation
bin10111011000011011110100
3102112101221200
4113120123310
53032120041
6335212500
7103045650
oct27303364
912471850
106129396
113507119
122077130
131367b80
14b57a60
158111b6
hex5d86f4

6129396 has 72 divisors (see below), whose sum is σ = 19079424. Its totient is φ = 1615680.

The previous prime is 6129379. The next prime is 6129407. The reversal of 6129396 is 6939216.

6129396 is a `hidden beast` number, since 612 + 9 + 39 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6129396.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2341 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (264992).

Almost surely, 26129396 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 6129396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9539712).

6129396 is an abundant number, since it is smaller than the sum of its proper divisors (12950028).

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

6129396 is a wasteful number, since it uses less digits than its factorization.

6129396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1896 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 6129396 is about 2475.7617009720. The cubic root of 6129396 is about 183.0090472997.

The spelling of 6129396 in words is "six million, one hundred twenty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 1871 3276 3742 5613 7484 11226 13097 16839 22452 24323 26194 33678 39291 48646 52388 67356 72969 78582 97292 117873 145938 157164 170261 218907 235746 291876 340522 437814 471492 510783 681044 875628 1021566 1532349 2043132 3064698 6129396