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2059914240 = 2103454967
BaseRepresentation
bin111101011000111…
…1100110000000000
312022120002111010000
41322301330300000
513204314223430
6540223040000
7102021660606
oct17261746000
95276074100
102059914240
1196784a06a
12495a40000
1326a9c4287
14157813876
15c0c99e60
hex7ac7cc00

2059914240 has 220 divisors, whose sum is σ = 7383054096. Its totient is φ = 549199872.

The previous prime is 2059914239. The next prime is 2059914277. The reversal of 2059914240 is 424199502.

2059914240 is a `hidden beast` number, since 20 + 599 + 1 + 4 + 2 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2059914195 and 2059914204.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 412237 + ... + 417203.

Almost surely, 22059914240 is an apocalyptic number.

2059914240 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 2059914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691527048).

2059914240 is an abundant number, since it is smaller than the sum of its proper divisors (5323139856).

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

2059914240 is an equidigital number, since it uses as much as digits as its factorization.

2059914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2059914240 is about 45386.2781025279. The cubic root of 2059914240 is about 1272.3786697451.

The spelling of 2059914240 in words is "two billion, fifty-nine million, nine hundred fourteen thousand, two hundred forty".