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6923680120 = 2357311316089
BaseRepresentation
bin1100111001010111…
…01111100101111000
3122212112010101121001
412130223233211320
5103134430230440
63103010254344
7333401211220
oct63453574570
918775111531
106923680120
112a33267395
1214128873b4
13864563956
14499771080
152a7c90b9a
hex19caef978

6923680120 has 128 divisors (see below), whose sum is σ = 18521395200. Its totient is φ = 2279347200.

The previous prime is 6923680079. The next prime is 6923680157. The reversal of 6923680120 is 210863296.

It is a self number, because there is not a number n which added to its sum of digits gives 6923680120.

It is a congruent number.

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, 1134036 + ... + 1140124.

It is an arithmetic number, because the mean of its divisors is an integer number (144698400).

Almost surely, 26923680120 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 6923680120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260697600).

6923680120 is an abundant number, since it is smaller than the sum of its proper divisors (11597715080).

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

6923680120 is a wasteful number, since it uses less digits than its factorization.

6923680120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269 (or 6265 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 6923680120 is about 83208.6541172251. The cubic root of 6923680120 is about 1905.9536350946.

The spelling of 6923680120 in words is "six billion, nine hundred twenty-three million, six hundred eighty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 131 140 155 217 248 262 280 310 434 524 620 655 868 917 1048 1085 1240 1310 1736 1834 2170 2620 3668 4061 4340 4585 5240 6089 7336 8122 8680 9170 12178 16244 18340 20305 24356 28427 30445 32488 36680 40610 42623 48712 56854 60890 81220 85246 113708 121780 142135 162440 170492 188759 213115 227416 243560 284270 340984 377518 426230 568540 755036 797659 852460 943795 1137080 1321313 1510072 1595318 1704920 1887590 2642626 3190636 3775180 3988295 5285252 5583613 6381272 6606565 7550360 7976590 10570504 11167226 13213130 15953180 22334452 24727429 26426260 27918065 31906360 44668904 49454858 52852520 55836130 98909716 111672260 123637145 173092003 197819432 223344520 247274290 346184006 494548580 692368012 865460015 989097160 1384736024 1730920030 3461840060 6923680120