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125630670 = 23511253653
BaseRepresentation
bin1110111110011…
…11100011001110
322202101200212210
413133033203032
5224130140140
620244411250
73053562114
oct737174316
9282350783
10125630670
1164a08200
12360a6b26
1320048a99
1412983ab4
15b068d80
hex77cf8ce

125630670 has 96 divisors (see below), whose sum is σ = 338186016. Its totient is φ = 29835520.

The previous prime is 125630633. The next prime is 125630677. The reversal of 125630670 is 76036521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125630677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192064 + ... + 192716.

It is an arithmetic number, because the mean of its divisors is an integer number (3522771).

Almost surely, 2125630670 is an apocalyptic number.

125630670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125630670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169093008).

125630670 is an abundant number, since it is smaller than the sum of its proper divisors (212555346).

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

125630670 is a wasteful number, since it uses less digits than its factorization.

125630670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 125630670 is about 11208.5088214267. The cubic root of 125630670 is about 500.8394830808.

The spelling of 125630670 in words is "one hundred twenty-five million, six hundred thirty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 121 159 165 242 265 318 330 363 530 583 605 653 726 795 1166 1210 1306 1590 1749 1815 1959 2915 3265 3498 3630 3918 5830 6413 6530 7183 8745 9795 12826 14366 17490 19239 19590 21549 32065 34609 35915 38478 43098 64130 69218 71830 79013 96195 103827 107745 158026 173045 192390 207654 215490 237039 346090 380699 395065 474078 519135 761398 790130 1038270 1142097 1185195 1903495 2284194 2370390 3806990 4187689 5710485 8375378 11420970 12563067 20938445 25126134 41876890 62815335 125630670