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116030820 = 223541101467
BaseRepresentation
bin1101110101001…
…11110101100100
322002022222100210
412322213311210
5214200441240
615302535420
72606150163
oct672476544
9262288323
10116030820
115a550744
1232a37570
131b0673b9
14115a53da
15a2be780
hex6ea7d64

116030820 has 96 divisors (see below), whose sum is σ = 336825216. Its totient is φ = 29824000.

The previous prime is 116030809. The next prime is 116030867. The reversal of 116030820 is 28030611.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248227 + ... + 248693.

It is an arithmetic number, because the mean of its divisors is an integer number (3508596).

Almost surely, 2116030820 is an apocalyptic number.

116030820 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 116030820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608).

116030820 is an abundant number, since it is smaller than the sum of its proper divisors (220794396).

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

116030820 is a wasteful number, since it uses less digits than its factorization.

116030820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 116030820 is about 10771.7603018263. The cubic root of 116030820 is about 487.7430845551.

The spelling of 116030820 in words is "one hundred sixteen million, thirty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 101 123 164 202 205 246 303 404 410 467 492 505 606 615 820 934 1010 1212 1230 1401 1515 1868 2020 2335 2460 2802 3030 4141 4670 5604 6060 7005 8282 9340 12423 14010 16564 19147 20705 24846 28020 38294 41410 47167 49692 57441 62115 76588 82820 94334 95735 114882 124230 141501 188668 191470 229764 235835 248460 283002 287205 382940 471670 566004 574410 707505 943340 1148820 1415010 1933847 2830020 3867694 5801541 7735388 9669235 11603082 19338470 23206164 29007705 38676940 58015410 116030820