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880820136 = 233374391327
BaseRepresentation
bin110100100000000…
…011111110101000
32021101102022002000
4310200003332220
53300442221021
6223223011000
730553563510
oct6440037650
92241368060
10880820136
11412222229
12206b99a60
1311063c661
1484da6840
15524ddb26
hex34803fa8

880820136 has 128 divisors (see below), whose sum is σ = 2804736000. Its totient is φ = 250900416.

The previous prime is 880820131. The next prime is 880820141. The reversal of 880820136 is 631028088.

It is an interprime number because it is at equal distance from previous prime (880820131) and next prime (880820141).

It is a super-2 number, since 2×8808201362 = 1551688223966116992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 880820136.

It is not an unprimeable number, because it can be changed into a prime (880820131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 663105 + ... + 664431.

It is an arithmetic number, because the mean of its divisors is an integer number (21912000).

Almost surely, 2880820136 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 880820136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402368000).

880820136 is an abundant number, since it is smaller than the sum of its proper divisors (1923915864).

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

880820136 is a wasteful number, since it uses less digits than its factorization.

880820136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 880820136 is about 29678.6141185871. The cubic root of 880820136 is about 958.5815771537.

The spelling of 880820136 in words is "eight hundred eighty million, eight hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 439 504 756 878 1317 1327 1512 1756 2634 2654 3073 3512 3951 3981 5268 5308 6146 7902 7962 9219 9289 10536 10616 11853 11943 12292 15804 15924 18438 18578 23706 23886 24584 27657 27867 31608 31848 35829 36876 37156 47412 47772 55314 55734 71658 73752 74312 82971 83601 94824 95544 110628 111468 143316 165942 167202 221256 222936 250803 286632 331884 334404 501606 582553 663768 668808 1003212 1165106 1747659 2006424 2330212 3495318 4077871 4660424 5242977 6990636 8155742 10485954 12233613 13981272 15728931 16311484 20971908 24467226 31457862 32622968 36700839 41943816 48934452 62915724 73401678 97868904 110102517 125831448 146803356 220205034 293606712 440410068 880820136