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842390136 = 233272516659
BaseRepresentation
bin110010001101011…
…101101001111000
32011201002212000200
4302031131221320
53211122441021
6215331202200
726606124630
oct6215355170
92151085020
10842390136
113a25641a5
121b6146360
131056a5603
147dc416c0
154de4c126
hex3235da78

842390136 has 96 divisors (see below), whose sum is σ = 2618179200. Its totient is φ = 239688000.

The previous prime is 842390119. The next prime is 842390149. The reversal of 842390136 is 631093248.

It is a super-3 number, since 3×8423901363 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 842390136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123175 + ... + 129833.

It is an arithmetic number, because the mean of its divisors is an integer number (27272700).

Almost surely, 2842390136 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 842390136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309089600).

842390136 is an abundant number, since it is smaller than the sum of its proper divisors (1775789064).

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

842390136 is a wasteful number, since it uses less digits than its factorization.

842390136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6929 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 842390136 is about 29023.9579657910. The cubic root of 842390136 is about 944.4328637022.

The spelling of 842390136 in words is "eight hundred forty-two million, three hundred ninety thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 251 252 502 504 753 1004 1506 1757 2008 2259 3012 3514 4518 5271 6024 6659 7028 9036 10542 13318 14056 15813 18072 19977 21084 26636 31626 39954 42168 46613 53272 59931 63252 79908 93226 119862 126504 139839 159816 186452 239724 279678 372904 419517 479448 559356 839034 1118712 1671409 1678068 3342818 3356136 5014227 6685636 10028454 11699863 13371272 15042681 20056908 23399726 30085362 35099589 40113816 46799452 60170724 70199178 93598904 105298767 120341448 140398356 210597534 280796712 421195068 842390136