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6097674240 = 213325717139
BaseRepresentation
bin1011010110111001…
…10010000000000000
3120201221211221112200
411223130302000000
544442001033430
62445022153200
7304051242630
oct55334620000
916657757480
106097674240
112649a839a9
121222122800
137623a6a88
1441bb966c0
1525a4cd460
hex16b732000

6097674240 has 672 divisors, whose sum is σ = 25761939840. Its totient is φ = 1302331392.

The previous prime is 6097674181. The next prime is 6097674269. The reversal of 6097674240 is 424767906.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×60976742402 = 74363262274319155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43868091 + ... + 43868229.

It is an arithmetic number, because the mean of its divisors is an integer number (38336220).

Almost surely, 26097674240 is an apocalyptic number.

6097674240 is a gapful number since it is divisible by the number (60) 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 6097674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12880969920).

6097674240 is an abundant number, since it is smaller than the sum of its proper divisors (19664265600).

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

6097674240 is a wasteful number, since it uses less digits than its factorization.

6097674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6097674240 is about 78087.6061868975. The cubic root of 6097674240 is about 1826.9278922651.

The spelling of 6097674240 in words is "six billion, ninety-seven million, six hundred seventy-four thousand, two hundred forty".