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2830135520 = 255172935879
BaseRepresentation
bin1010100010110000…
…0111000011100000
321022020101210002002
42220230013003200
521244003314040
61144455343132
7130063516652
oct25054070340
97266353062
102830135520
1112225a0783
1266b981aa8
1336144bb04
141cbc2a6d2
151186dda15
hexa8b070e0

2830135520 has 96 divisors (see below), whose sum is σ = 7323825600. Its totient is φ = 1028694016.

The previous prime is 2830135507. The next prime is 2830135531. The reversal of 2830135520 is 255310382.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60941 + ... + 96819.

It is an arithmetic number, because the mean of its divisors is an integer number (76289850).

Almost surely, 22830135520 is an apocalyptic number.

2830135520 is a gapful number since it is divisible by the number (20) 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 2830135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661912800).

2830135520 is an abundant number, since it is smaller than the sum of its proper divisors (4493690080).

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

2830135520 is a wasteful number, since it uses less digits than its factorization.

2830135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35940 (or 35932 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2830135520 is about 53199.0180360503. The cubic root of 2830135520 is about 1414.4982376076.

The spelling of 2830135520 in words is "two billion, eight hundred thirty million, one hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 68 80 85 116 136 145 160 170 232 272 290 340 464 493 544 580 680 928 986 1160 1360 1972 2320 2465 2720 3944 4640 4930 7888 9860 15776 19720 35879 39440 71758 78880 143516 179395 287032 358790 574064 609943 717580 1040491 1148128 1219886 1435160 2080982 2439772 2870320 3049715 4161964 4879544 5202455 5740640 6099430 8323928 9759088 10404910 12198860 16647856 17688347 19518176 20809820 24397720 33295712 35376694 41619640 48795440 70753388 83239280 88441735 97590880 141506776 166478560 176883470 283013552 353766940 566027104 707533880 1415067760 2830135520