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125722368 = 28354347
BaseRepresentation
bin1110111111001…
…01111100000000
322202120100200000
413133211330000
5224141103433
620250400000
73054423342
oct737457400
9282510600
10125722368
1164a70092
1236130000
132007b745
14129a9292
15b086113
hex77e5f00

125722368 has 216 divisors, whose sum is σ = 392840448. Its totient is φ = 40061952.

The previous prime is 125722367. The next prime is 125722369. The reversal of 125722368 is 863227521.

125722368 is a `hidden beast` number, since 1 + 2 + 572 + 23 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (125722367) and next prime (125722369).

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1257223682 = 31612227631054848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125722367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2674921 + ... + 2674967.

Almost surely, 2125722368 is an apocalyptic number.

125722368 is a gapful number since it is divisible by the number (18) 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 125722368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196420224).

125722368 is an abundant number, since it is smaller than the sum of its proper divisors (267118080).

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

125722368 is an frugal number, since it uses more digits than its factorization.

125722368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 125722368 is about 11212.5986283288. The cubic root of 125722368 is about 500.9613079230.

Adding to 125722368 its reverse (863227521), we get a palindrome (988949889).

The spelling of 125722368 in words is "one hundred twenty-five million, seven hundred twenty-two thousand, three hundred sixty-eight".