Search a number
-
+
125250320 = 24513831451
BaseRepresentation
bin1110111011100…
…10101100010000
322201200101010202
413131302230100
5224031002240
620232314332
73050416166
oct735625420
9281611122
10125250320
1164778468
1235b429a8
131cc44920
14128c5236
15aee1315
hex7772b10

125250320 has 80 divisors (see below), whose sum is σ = 317604672. Its totient is φ = 45657600.

The previous prime is 125250287. The next prime is 125250343. The reversal of 125250320 is 23052521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 125250292 and 125250301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85595 + ... + 87045.

Almost surely, 2125250320 is an apocalyptic number.

125250320 is a gapful number since it is divisible by the number (10) 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 125250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158802336).

125250320 is an abundant number, since it is smaller than the sum of its proper divisors (192354352).

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

125250320 is a wasteful number, since it uses less digits than its factorization.

125250320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 125250320 is about 11191.5289393362. The cubic root of 125250320 is about 500.3335374561. Note that the first 3 decimals are identical.

The spelling of 125250320 in words is "one hundred twenty-five million, two hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 83 104 130 166 208 260 332 415 520 664 830 1040 1079 1328 1451 1660 2158 2902 3320 4316 5395 5804 6640 7255 8632 10790 11608 14510 17264 18863 21580 23216 29020 37726 43160 58040 75452 86320 94315 116080 120433 150904 188630 240866 301808 377260 481732 602165 754520 963464 1204330 1509040 1565629 1926928 2408660 3131258 4817320 6262516 7828145 9634640 12525032 15656290 25050064 31312580 62625160 125250320