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125672130 = 2325712277
BaseRepresentation
bin1110111110110…
…01101011000010
322202110210202100
413133121223002
5224133002010
620245331230
73054124023
oct737315302
9282423670
10125672130
1164a36371
1236106b16
132006190c
1412994c4a
15b0762c0
hex77d9ac2

125672130 has 72 divisors (see below), whose sum is σ = 332610876. Its totient is φ = 32921280.

The previous prime is 125672119. The next prime is 125672147. The reversal of 125672130 is 31276521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 118004769 + 7667361 = 10863^2 + 2769^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125672094 and 125672103.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 453552 + ... + 453828.

Almost surely, 2125672130 is an apocalyptic number.

125672130 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 125672130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166305438).

125672130 is an abundant number, since it is smaller than the sum of its proper divisors (206938746).

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

125672130 is a wasteful number, since it uses less digits than its factorization.

125672130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 125672130 is about 11210.3581566335. The cubic root of 125672130 is about 500.8945718612.

The spelling of 125672130 in words is "one hundred twenty-five million, six hundred seventy-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 277 355 426 554 639 710 831 1065 1278 1385 1662 2130 2493 2770 3195 4155 4986 5041 6390 8310 10082 12465 15123 19667 24930 25205 30246 39334 45369 50410 59001 75615 90738 98335 118002 151230 177003 196670 226845 295005 354006 453690 590010 885015 1396357 1770030 2792714 4189071 6981785 8378142 12567213 13963570 20945355 25134426 41890710 62836065 125672130