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755239680 = 2833513412
BaseRepresentation
bin101101000001000…
…000101100000000
31221122010011002000
4231001000230000
53021320132210
6202535224000
724500300646
oct5501005400
91848104060
10755239680
11358349828
12190b18000
13c06106b0
1472437196
1546484ac0
hex2d040b00

755239680 has 432 divisors, whose sum is σ = 2958322080. Its totient is φ = 181370880.

The previous prime is 755239679. The next prime is 755239691. The reversal of 755239680 is 86932557.

It is a happy number.

755239680 is a `hidden beast` number, since 7 + 552 + 3 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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, 18420460 + ... + 18420500.

Almost surely, 2755239680 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 755239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479161040).

755239680 is an abundant number, since it is smaller than the sum of its proper divisors (2203082400).

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

755239680 is a wasteful number, since it uses less digits than its factorization.

755239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 755239680 is about 27481.6244061373. The cubic root of 755239680 is about 910.6711950348.

The spelling of 755239680 in words is "seven hundred fifty-five million, two hundred thirty-nine thousand, six hundred eighty".