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4740366240 = 25375192331
BaseRepresentation
bin1000110101000110…
…00011111110100000
3110020100211120000000
410122203003332200
534202013204430
62102214300000
7225320306511
oct43243037640
913210746000
104740366240
1120128a4355
12b03657600
135a712524c
1432d7d8a08
151cb26ce60
hex11a8c3fa0

4740366240 has 768 divisors, whose sum is σ = 19043942400. Its totient is φ = 1108546560.

The previous prime is 4740366229. The next prime is 4740366251. The reversal of 4740366240 is 426630474.

4740366240 is a `hidden beast` number, since 4 + 7 + 403 + 6 + 6 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (4740366229) and next prime (4740366251).

It is a super-3 number, since 3×47403662403 (a number of 30 digits) contains 333 as substring.

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 = 4740366195 and 4740366204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152915025 + ... + 152915055.

It is an arithmetic number, because the mean of its divisors is an integer number (24796800).

Almost surely, 24740366240 is an apocalyptic number.

4740366240 is a gapful number since it is divisible by the number (40) 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 4740366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521971200).

4740366240 is an abundant number, since it is smaller than the sum of its proper divisors (14303576160).

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

4740366240 is a wasteful number, since it uses less digits than its factorization.

4740366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 4740366240 is about 68850.3176463261. The cubic root of 4740366240 is about 1679.8504969002.

The spelling of 4740366240 in words is "four billion, seven hundred forty million, three hundred sixty-six thousand, two hundred forty".