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612134880 = 2535723892
BaseRepresentation
bin100100011111000…
…110111111100000
31120122211200012020
4210133012333200
52223201304010
6140424101440
721112026540
oct4437067740
91518750166
10612134880
11294596aa5
12151004880
1399a870b6
145b425320
1538b18470
hex247c6fe0

612134880 has 288 divisors, whose sum is σ = 2325625344. Its totient is φ = 132329472.

The previous prime is 612134851. The next prime is 612134881. The reversal of 612134880 is 88431216.

It is a super-2 number, since 2×6121348802 = 749418222625228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612134881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6877876 + ... + 6877964.

It is an arithmetic number, because the mean of its divisors is an integer number (8075088).

Almost surely, 2612134880 is an apocalyptic number.

612134880 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 612134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162812672).

612134880 is an abundant number, since it is smaller than the sum of its proper divisors (1713490464).

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

612134880 is a wasteful number, since it uses less digits than its factorization.

612134880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 612134880 is about 24741.3597039451. The cubic root of 612134880 is about 849.0808426336.

The spelling of 612134880 in words is "six hundred twelve million, one hundred thirty-four thousand, eight hundred eighty".