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125070540 = 223572192239
BaseRepresentation
bin1110111010001…
…10110011001100
322201100020112020
413131012303030
5224004224130
620224410140
73046040100
oct735066314
9281306466
10125070540
1164665391
1235a76950
131cbb0b4a
1412879900
15aea7e10
hex7746ccc

125070540 has 144 divisors (see below), whose sum is σ = 429004800. Its totient is φ = 27070848.

The previous prime is 125070511. The next prime is 125070551. The reversal of 125070540 is 45070521.

It is a self number, because there is not a number n which added to its sum of digits gives 125070540.

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, 54741 + ... + 56979.

It is an arithmetic number, because the mean of its divisors is an integer number (2979200).

Almost surely, 2125070540 is an apocalyptic number.

125070540 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 125070540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214502400).

125070540 is an abundant number, since it is smaller than the sum of its proper divisors (303934260).

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

125070540 is a wasteful number, since it uses less digits than its factorization.

125070540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 125070540 is about 11183.4940872699. The cubic root of 125070540 is about 500.0940356468.

The spelling of 125070540 in words is "one hundred twenty-five million, seventy thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 49 57 60 70 76 84 95 98 105 114 133 140 147 190 196 210 228 245 266 285 294 380 399 420 490 532 570 588 665 735 798 931 980 1140 1330 1470 1596 1862 1995 2239 2660 2793 2940 3724 3990 4478 4655 5586 6717 7980 8956 9310 11172 11195 13434 13965 15673 18620 22390 26868 27930 31346 33585 42541 44780 47019 55860 62692 67170 78365 85082 94038 109711 127623 134340 156730 170164 188076 212705 219422 235095 255246 297787 313460 329133 425410 438844 470190 510492 548555 595574 638115 658266 850820 893361 940380 1097110 1191148 1276230 1316532 1488935 1645665 1786722 2084509 2194220 2552460 2977870 3291330 3573444 4169018 4466805 5955740 6253527 6582660 8338036 8933610 10422545 12507054 17867220 20845090 25014108 31267635 41690180 62535270 125070540