Search a number
-
+
840192912 = 2437131847
BaseRepresentation
bin110010000101000…
…101001110010000
32011112222020000000
4302011011032100
53210042133122
6215212130000
726551344006
oct6205051620
92145866000
10840192912
113a12a3409
121b5466900
131050b6490
147d82ca76
154db660ac
hex32145390

840192912 has 160 divisors (see below), whose sum is σ = 2630664960. Its totient is φ = 258380928.

The previous prime is 840192889. The next prime is 840192943. The reversal of 840192912 is 219291048.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453973 + ... + 455819.

It is an arithmetic number, because the mean of its divisors is an integer number (16441656).

Almost surely, 2840192912 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 840192912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315332480).

840192912 is an abundant number, since it is smaller than the sum of its proper divisors (1790472048).

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

840192912 is a wasteful number, since it uses less digits than its factorization.

840192912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 840192912 is about 28986.0813495029. The cubic root of 840192912 is about 943.6110206760.

The spelling of 840192912 in words is "eight hundred forty million, one hundred ninety-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1847 1872 1944 2106 2187 2808 2916 3159 3694 3888 4212 4374 5541 5616 5832 6318 7388 8424 8748 9477 11082 11664 12636 14776 16623 16848 17496 18954 22164 24011 25272 28431 29552 33246 34992 37908 44328 48022 49869 50544 56862 66492 72033 75816 88656 96044 99738 113724 132984 144066 149607 151632 192088 199476 216099 227448 265968 288132 299214 384176 398952 432198 448821 454896 576264 598428 648297 797904 864396 897642 1152528 1196856 1296594 1346463 1728792 1795284 1944891 2393712 2593188 2692926 3457584 3590568 3889782 4039389 5186376 5385852 5834673 7181136 7779564 8078778 10372752 10771704 11669346 15559128 16157556 17504019 21543408 23338692 31118256 32315112 35008038 46677384 52512057 64630224 70016076 93354768 105024114 140032152 210048228 280064304 420096456 840192912