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125005080 = 233517292113
BaseRepresentation
bin1110111001101…
…10110100011000
322201012220201210
413130312310120
5224000130310
620223143120
73045345204
oct734666430
9281186653
10125005080
1164620192
1235a44aa0
131cb8a105
141285db04
15ae93820
hex7736d18

125005080 has 128 divisors (see below), whose sum is σ = 410961600. Its totient is φ = 30277632.

The previous prime is 125005073. The next prime is 125005081. The reversal of 125005080 is 80500521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125005081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58104 + ... + 60216.

Almost surely, 2125005080 is an apocalyptic number.

125005080 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 125005080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205480800).

125005080 is an abundant number, since it is smaller than the sum of its proper divisors (285956520).

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

125005080 is a wasteful number, since it uses less digits than its factorization.

125005080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 125005080 is about 11180.5670696973. The cubic root of 125005080 is about 500.0067732416.

The spelling of 125005080 in words is "one hundred twenty-five million, five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 29 30 34 40 51 58 60 68 85 87 102 116 120 136 145 170 174 204 232 255 290 340 348 408 435 493 510 580 680 696 870 986 1020 1160 1479 1740 1972 2040 2113 2465 2958 3480 3944 4226 4930 5916 6339 7395 8452 9860 10565 11832 12678 14790 16904 19720 21130 25356 29580 31695 35921 42260 50712 59160 61277 63390 71842 84520 107763 122554 126780 143684 179605 183831 215526 245108 253560 287368 306385 359210 367662 431052 490216 538815 612770 718420 735324 862104 919155 1041709 1077630 1225540 1436840 1470648 1838310 2083418 2155260 2451080 3125127 3676620 4166836 4310520 5208545 6250254 7353240 8333672 10417090 12500508 15625635 20834180 25001016 31251270 41668360 62502540 125005080