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125740404 = 223319292113
BaseRepresentation
bin1110111111010…
…10010101110100
322202121021102000
413133222111310
5224142143104
620251015300
73054530046
oct737522564
9282537360
10125740404
1164a82699
123613a530
1320086a0a
14129b1a96
15b08b639
hex77ea574

125740404 has 96 divisors (see below), whose sum is σ = 355152000. Its totient is φ = 38320128.

The previous prime is 125740343. The next prime is 125740427. The reversal of 125740404 is 404047521.

125740404 is a `hidden beast` number, since 1 + 257 + 4 + 0 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58452 + ... + 60564.

It is an arithmetic number, because the mean of its divisors is an integer number (3699500).

Almost surely, 2125740404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125740404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177576000).

125740404 is an abundant number, since it is smaller than the sum of its proper divisors (229411596).

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

125740404 is a wasteful number, since it uses less digits than its factorization.

125740404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 125740404 is about 11213.4028733476. The cubic root of 125740404 is about 500.9852625734.

Adding to 125740404 its reverse (404047521), we get a palindrome (529787925).

The spelling of 125740404 in words is "one hundred twenty-five million, seven hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 29 36 38 54 57 58 76 87 108 114 116 171 174 228 261 342 348 513 522 551 684 783 1026 1044 1102 1566 1653 2052 2113 2204 3132 3306 4226 4959 6339 6612 8452 9918 12678 14877 19017 19836 25356 29754 38034 40147 57051 59508 61277 76068 80294 114102 120441 122554 160588 183831 228204 240882 245108 361323 367662 481764 551493 722646 735324 1083969 1102986 1164263 1445292 1654479 2167938 2205972 2328526 3308958 3492789 4335876 4657052 6617916 6985578 10478367 13971156 20956734 31435101 41913468 62870202 125740404