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125500928 = 29719297
BaseRepresentation
bin1110111101011…
…11111000000000
322202011002220112
413132233320000
5224112012203
620241530452
73052511630
oct736577000
9282132815
10125500928
1164929783
1236043a28
1320001a07
141294c6c0
15b0406d8
hex77afe00

125500928 has 120 divisors (see below), whose sum is σ = 305574192. Its totient is φ = 50429952.

The previous prime is 125500891. The next prime is 125500957. The reversal of 125500928 is 829005521.

It is a super-2 number, since 2×1255009282 = 31500965857722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 125500894 and 125500903.

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, 1293776 + ... + 1293872.

Almost surely, 2125500928 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 125500928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152787096).

125500928 is an abundant number, since it is smaller than the sum of its proper divisors (180073264).

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

125500928 is an frugal number, since it uses more digits than its factorization.

125500928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 125500928 is about 11202.7196697945. The cubic root of 125500928 is about 500.6670137895.

The spelling of 125500928 in words is "one hundred twenty-five million, five hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 97 112 128 133 152 194 224 256 266 304 361 388 448 512 532 608 679 722 776 896 1064 1216 1358 1444 1552 1792 1843 2128 2432 2527 2716 2888 3104 3584 3686 4256 4864 5054 5432 5776 6208 7372 8512 9728 10108 10864 11552 12416 12901 14744 17024 20216 21728 23104 24832 25802 29488 34048 35017 40432 43456 46208 49664 51604 58976 68096 70034 80864 86912 92416 103208 117952 140068 161728 173824 184832 206416 235904 245119 280136 323456 347648 412832 471808 490238 560272 646912 825664 943616 980476 1120544 1293824 1651328 1960952 2241088 3302656 3921904 4482176 6605312 7843808 8964352 15687616 17928704 31375232 62750464 125500928