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840267252 = 22321119710771
BaseRepresentation
bin110010000101010…
…111010111110100
32011120002222222100
4302011113113310
53210102023002
6215213502100
726552103516
oct6205272764
92146088870
10840267252
113a1344250
121b54a1930
13105111276
147d84bbb6
154db7d11c
hex321575f4

840267252 has 72 divisors (see below), whose sum is σ = 2329078752. Its totient is φ = 253310400.

The previous prime is 840267251. The next prime is 840267271. The reversal of 840267252 is 252762048.

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 (840267251) 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, 72627 + ... + 83397.

It is an arithmetic number, because the mean of its divisors is an integer number (32348316).

Almost surely, 2840267252 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 840267252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164539376).

840267252 is an abundant number, since it is smaller than the sum of its proper divisors (1488811500).

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

840267252 is a wasteful number, since it uses less digits than its factorization.

840267252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 840267252 is about 28987.3636607402. The cubic root of 840267252 is about 943.6388499889.

The spelling of 840267252 in words is "eight hundred forty million, two hundred sixty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 197 198 394 396 591 788 1182 1773 2167 2364 3546 4334 6501 7092 8668 10771 13002 19503 21542 26004 32313 39006 43084 64626 78012 96939 118481 129252 193878 236962 355443 387756 473924 710886 1066329 1421772 2121887 2132658 4243774 4265316 6365661 8487548 12731322 19096983 23340757 25462644 38193966 46681514 70022271 76387932 93363028 140044542 210066813 280089084 420133626 840267252