Search a number
-
+
6076036152 = 233529107777
BaseRepresentation
bin1011010100010100…
…01111010000111000
3120200110010121200000
411222022033100320
544420431124102
62442530313000
7303366312054
oct55212172070
916613117600
106076036152
11263884498a
121216a28760
1375aa6bb84
14418d62c64
1525865701c
hex16a28f438

6076036152 has 96 divisors (see below), whose sum is σ = 17654036400. Its totient is φ = 1955487744.

The previous prime is 6076036121. The next prime is 6076036157. The reversal of 6076036152 is 2516306706.

6076036152 is a `hidden beast` number, since 607 + 6 + 0 + 36 + 15 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6076036157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2488 + ... + 110264.

Almost surely, 26076036152 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 6076036152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8827018200).

6076036152 is an abundant number, since it is smaller than the sum of its proper divisors (11578000248).

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

6076036152 is a wasteful number, since it uses less digits than its factorization.

6076036152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107827 (or 107811 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6076036152 is about 77948.9329753782. The cubic root of 6076036152 is about 1824.7643308120.

The spelling of 6076036152 in words is "six billion, seventy-six million, thirty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 783 972 1044 1566 1944 2088 2349 3132 4698 6264 7047 9396 14094 18792 28188 56376 107777 215554 323331 431108 646662 862216 969993 1293324 1939986 2586648 2909979 3125533 3879972 5819958 6251066 7759944 8729937 9376599 11639916 12502132 17459874 18753198 23279832 25004264 26189811 28129797 34919748 37506396 52379622 56259594 69839496 75012792 84389391 104759244 112519188 168778782 209518488 225038376 253168173 337557564 506336346 675115128 759504519 1012672692 1519009038 2025345384 3038018076 6076036152