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125445540 = 223511237467
BaseRepresentation
bin1110111101000…
…10010110100100
322202001021221010
413132202112210
5224103224130
620240422220
73052161303
oct736422644
9282037833
10125445540
11648a1100
1236017970
131ccb273c
141293643a
15b02e0b0
hex77a25a4

125445540 has 144 divisors (see below), whose sum is σ = 397365696. Its totient is φ = 29525760.

The previous prime is 125445521. The next prime is 125445571. The reversal of 125445540 is 45544521.

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

It is a junction number, because it is equal to n+sod(n) for n = 125445498 and 125445507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268387 + ... + 268853.

It is an arithmetic number, because the mean of its divisors is an integer number (2759484).

Almost surely, 2125445540 is an apocalyptic number.

125445540 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 125445540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198682848).

125445540 is an abundant number, since it is smaller than the sum of its proper divisors (271920156).

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

125445540 is a wasteful number, since it uses less digits than its factorization.

125445540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 125445540 is about 11200.2473186979. The cubic root of 125445540 is about 500.5933489289.

The spelling of 125445540 in words is "one hundred twenty-five million, four hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 121 132 148 165 185 220 222 242 330 363 370 407 444 467 484 555 605 660 726 740 814 934 1110 1210 1221 1401 1452 1628 1815 1868 2035 2220 2335 2420 2442 2802 3630 4070 4477 4670 4884 5137 5604 6105 7005 7260 8140 8954 9340 10274 12210 13431 14010 15411 17279 17908 20548 22385 24420 25685 26862 28020 30822 34558 44770 51370 51837 53724 56507 61644 67155 69116 77055 86395 89540 102740 103674 113014 134310 154110 169521 172790 190069 207348 226028 259185 268620 282535 308220 339042 345580 380138 518370 565070 570207 678084 760276 847605 950345 1036740 1130140 1140414 1695210 1900690 2090759 2280828 2851035 3390420 3801380 4181518 5702070 6272277 8363036 10453795 11404140 12544554 20907590 25089108 31361385 41815180 62722770 125445540