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1428537100 = 2252292631873
BaseRepresentation
bin101010100100101…
…1011111100001100
310200120001012111111
41111021123330030
510411201141400
6353430301404
750254236124
oct12511337414
93616035444
101428537100
11673410081
1233a4b7864
13199c60933
14d7a1dc84
15856303ba
hex5525bf0c

1428537100 has 72 divisors (see below), whose sum is σ = 3220731360. Its totient is φ = 549319680.

The previous prime is 1428537043. The next prime is 1428537109. The reversal of 1428537100 is 17358241.

It is not an unprimeable number, because it can be changed into a prime (1428537109) 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, 761764 + ... + 763636.

It is an arithmetic number, because the mean of its divisors is an integer number (44732380).

Almost surely, 21428537100 is an apocalyptic number.

1428537100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428537100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610365680).

1428537100 is an abundant number, since it is smaller than the sum of its proper divisors (1792194260).

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

1428537100 is a wasteful number, since it uses less digits than its factorization.

1428537100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 1428537100 is about 37795.9931738802. The cubic root of 1428537100 is about 1126.2388591258.

The spelling of 1428537100 in words is "one billion, four hundred twenty-eight million, five hundred thirty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 263 290 526 580 725 1052 1315 1450 1873 2630 2900 3746 5260 6575 7492 7627 9365 13150 15254 18730 26300 30508 37460 38135 46825 54317 76270 93650 108634 152540 187300 190675 217268 271585 381350 492599 543170 762700 985198 1086340 1357925 1970396 2462995 2715850 4925990 5431700 9851980 12314975 14285371 24629950 28570742 49259900 57141484 71426855 142853710 285707420 357134275 714268550 1428537100