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125949978 = 23471123439
BaseRepresentation
bin1111000000111…
…01100000011010
322202222220220000
413200131200122
5224220344403
620255313430
73056362050
oct740354032
9282886800
10125949978
11651060a0
123621b876
132012b21b
1412a281d0
15b0cd7a3
hex781d81a

125949978 has 160 divisors (see below), whose sum is σ = 367994880. Its totient is φ = 31220640.

The previous prime is 125949907. The next prime is 125949979. The reversal of 125949978 is 879949521.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125949979) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 286683 + ... + 287121.

It is an arithmetic number, because the mean of its divisors is an integer number (2299968).

Almost surely, 2125949978 is an apocalyptic number.

125949978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125949978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183997440).

125949978 is an abundant number, since it is smaller than the sum of its proper divisors (242044902).

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

125949978 is a wasteful number, since it uses less digits than its factorization.

125949978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 485 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 125949978 is about 11222.7437821595. The cubic root of 125949978 is about 501.2634420725.

The spelling of 125949978 in words is "one hundred twenty-five million, nine hundred forty-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 27 33 42 46 54 63 66 69 77 81 99 126 138 154 161 162 189 198 207 231 253 297 322 378 414 439 462 483 506 567 594 621 693 759 878 891 966 1134 1242 1317 1386 1449 1518 1771 1782 1863 2079 2277 2634 2898 3073 3542 3726 3951 4158 4347 4554 4829 5313 6146 6237 6831 7902 8694 9219 9658 10097 10626 11853 12474 13041 13662 14487 15939 18438 20194 20493 23706 26082 27657 28974 30291 31878 33803 35559 40986 43461 47817 55314 60582 67606 70679 71118 82971 86922 90873 95634 101409 111067 130383 141358 143451 165942 181746 202818 212037 222134 248913 260766 272619 286902 304227 333201 391149 424074 497826 545238 608454 636111 666402 777469 782298 817857 912681 999603 1272222 1554938 1635714 1825362 1908333 1999206 2332407 2738043 2998809 3816666 4664814 5476086 5724999 5997618 6997221 8996427 11449998 13994442 17992854 20991663 41983326 62974989 125949978