Search a number
-
+
840922272 = 253217171757
BaseRepresentation
bin110010000111110…
…111010010100000
32011121100021111100
4302013313102200
53210234003042
6215235514400
726560502301
oct6207672240
92147307440
10840922272
113a1751393
121b5758a00
131052b0458
147d97c7a8
154dc5c24c
hex321f74a0

840922272 has 72 divisors (see below), whose sum is σ = 2532056436. Its totient is φ = 263817216.

The previous prime is 840922267. The next prime is 840922283. The reversal of 840922272 is 272229048.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 651474576 + 189447696 = 25524^2 + 13764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80983 + ... + 90774.

Almost surely, 2840922272 is an apocalyptic number.

It is an amenable number.

840922272 is an abundant number, since it is smaller than the sum of its proper divisors (1691134164).

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

840922272 is a wasteful number, since it uses less digits than its factorization.

840922272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171790 (or 171779 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 840922272 is about 28998.6598311025. The cubic root of 840922272 is about 943.8839869880.

The spelling of 840922272 in words is "eight hundred forty million, nine hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 171757 343514 515271 687028 1030542 1374056 1545813 2061084 2748112 2919869 3091626 4122168 5496224 5839738 6183252 8244336 8759607 11679476 12366504 16488672 17519214 23358952 24733008 26278821 35038428 46717904 49466016 52557642 70076856 93435808 105115284 140153712 210230568 280307424 420461136 840922272