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750090132 = 223411219253
BaseRepresentation
bin101100101101010…
…111011110010100
31221021102112020000
4230231113132110
53014010341012
6202233011300
724405442461
oct5455273624
91837375200
10750090132
11355451900
1218b253b30
13bc52981c
1471896668
1545cb8ddc
hex2cb57794

750090132 has 270 divisors, whose sum is σ = 2317681674. Its totient is φ = 211273920.

The previous prime is 750090127. The next prime is 750090137. The reversal of 750090132 is 231090057.

It is an interprime number because it is at equal distance from previous prime (750090127) and next prime (750090137).

It can be written as a sum of positive squares in only one way, i.e., 693479556 + 56610576 = 26334^2 + 7524^2 .

It is a super-2 number, since 2×7500901322 = 1125270412247554848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 750090096 and 750090105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (750090137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 14152618 + ... + 14152670.

Almost surely, 2750090132 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 750090132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158840837).

750090132 is an abundant number, since it is smaller than the sum of its proper divisors (1567591542).

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

750090132 is a wasteful number, since it uses less digits than its factorization.

750090132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 750090132 is about 27387.7734034733. The cubic root of 750090132 is about 908.5966906723.

The spelling of 750090132 in words is "seven hundred fifty million, ninety thousand, one hundred thirty-two".