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840972150 = 2325217211521
BaseRepresentation
bin110010001000000…
…011011101110110
32011121102210220200
4302020003131312
53210242102100
6215240541330
726561100564
oct6210033566
92147383820
10840972150
113a1785907
121b5781846
131052ca075
147d992a34
154dc6be00
hex32203776

840972150 has 144 divisors (see below), whose sum is σ = 2408269968. Its totient is φ = 209664000.

The previous prime is 840972137. The next prime is 840972163. The reversal of 840972150 is 51279048.

840972150 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (840972137) and next prime (840972163).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1613890 + ... + 1614410.

It is an arithmetic number, because the mean of its divisors is an integer number (16724097).

Almost surely, 2840972150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840972150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204134984).

840972150 is an abundant number, since it is smaller than the sum of its proper divisors (1567297818).

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

840972150 is a wasteful number, since it uses less digits than its factorization.

840972150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 840972150 is about 28999.5198236109. The cubic root of 840972150 is about 943.9026482905.

The spelling of 840972150 in words is "eight hundred forty million, nine hundred seventy-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 211 225 255 306 422 425 450 510 521 633 765 850 1042 1055 1266 1275 1530 1563 1899 2110 2550 2605 3126 3165 3587 3798 3825 4689 5210 5275 6330 7174 7650 7815 8857 9378 9495 10550 10761 13025 15630 15825 17714 17935 18990 21522 23445 26050 26571 31650 32283 35870 39075 44285 46890 47475 53142 53805 64566 78150 79713 88570 89675 94950 107610 109931 117225 132855 159426 161415 179350 219862 221425 234450 265710 269025 322830 329793 398565 442850 538050 549655 659586 664275 797130 807075 989379 1099310 1328550 1614150 1648965 1868827 1978758 1992825 2748275 3297930 3737654 3985650 4946895 5496550 5606481 8244825 9344135 9893790 11212962 16489650 16819443 18688270 24734475 28032405 33638886 46720675 49468950 56064810 84097215 93441350 140162025 168194430 280324050 420486075 840972150