Search a number
-
+
125130840 = 23352394363
BaseRepresentation
bin1110111010101…
…01100001011000
322201110022020120
413131111201120
5224013141330
620225553240
73046410642
oct735254130
9281408216
10125130840
11646a671a
1235aa5820
131cc02423
1412893892
15aebac10
hex7755858

125130840 has 64 divisors (see below), whose sum is σ = 377049600. Its totient is φ = 33220992.

The previous prime is 125130823. The next prime is 125130857. The reversal of 125130840 is 48031521.

It is an interprime number because it is at equal distance from previous prime (125130823) and next prime (125130857).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125130840.

It is a congruent number.

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, 26499 + ... + 30861.

It is an arithmetic number, because the mean of its divisors is an integer number (5891400).

Almost surely, 2125130840 is an apocalyptic number.

125130840 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 125130840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188524800).

125130840 is an abundant number, since it is smaller than the sum of its proper divisors (251918760).

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

125130840 is a wasteful number, since it uses less digits than its factorization.

125130840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 125130840 is about 11186.1896998040. The cubic root of 125130840 is about 500.1743925008.

The spelling of 125130840 in words is "one hundred twenty-five million, one hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 956 1195 1434 1912 2390 2868 3585 4363 4780 5736 7170 8726 9560 13089 14340 17452 21815 26178 28680 34904 43630 52356 65445 87260 104712 130890 174520 261780 523560 1042757 2085514 3128271 4171028 5213785 6256542 8342056 10427570 12513084 15641355 20855140 25026168 31282710 41710280 62565420 125130840