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125241264 = 24323072833
BaseRepresentation
bin1110111011100…
…00011110110000
322201122220201100
413131300132300
5224030210024
620232204400
73050350611
oct735603660
9281586640
10125241264
1164771685
1235b39700
131cc40775
14128c1c08
15aedd7c9
hex77707b0

125241264 has 60 divisors (see below), whose sum is σ = 351767416. Its totient is φ = 41596416.

The previous prime is 125241257. The next prime is 125241283. The reversal of 125241264 is 462142521.

125241264 is a `hidden beast` number, since 12 + 524 + 126 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42792 + ... + 45624.

Almost surely, 2125241264 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 125241264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175883708).

125241264 is an abundant number, since it is smaller than the sum of its proper divisors (226526152).

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

125241264 is a wasteful number, since it uses less digits than its factorization.

125241264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3145 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 125241264 is about 11191.1243402975. The cubic root of 125241264 is about 500.3214785921.

Adding to 125241264 its reverse (462142521), we get a palindrome (587383785).

The spelling of 125241264 in words is "one hundred twenty-five million, two hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 1228 1842 2456 2763 2833 3684 4912 5526 5666 7368 8499 11052 11332 14736 16998 22104 22664 25497 33996 44208 45328 50994 67992 101988 135984 203976 407952 869731 1739462 2609193 3478924 5218386 6957848 7827579 10436772 13915696 15655158 20873544 31310316 41747088 62620632 125241264