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125315580 = 223513347463
BaseRepresentation
bin1110111100000…
…10100111111100
322201210200122210
413132002213330
5224040044310
620233540420
73051110355
oct736024774
9281720583
10125315580
11648124a5
1235b74710
131cc68540
1412900d2c
15b005820
hex77829fc

125315580 has 96 divisors (see below), whose sum is σ = 379782144. Its totient is φ = 30691584.

The previous prime is 125315579. The next prime is 125315611. The reversal of 125315580 is 85513521.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270429 + ... + 270891.

It is an arithmetic number, because the mean of its divisors is an integer number (3956064).

Almost surely, 2125315580 is an apocalyptic number.

125315580 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 125315580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189891072).

125315580 is an abundant number, since it is smaller than the sum of its proper divisors (254466564).

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

125315580 is a wasteful number, since it uses less digits than its factorization.

125315580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 125315580 is about 11194.4441577061. Note that the first 3 decimals coincide. The cubic root of 125315580 is about 500.4204197288.

The spelling of 125315580 in words is "one hundred twenty-five million, three hundred fifteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 347 390 463 694 780 926 1041 1388 1389 1735 1852 2082 2315 2778 3470 4164 4511 4630 5205 5556 6019 6940 6945 9022 9260 10410 12038 13533 13890 18044 18057 20820 22555 24076 27066 27780 30095 36114 45110 54132 60190 67665 72228 90220 90285 120380 135330 160661 180570 270660 321322 361140 481983 642644 803305 963966 1606610 1927932 2088593 2409915 3213220 4177186 4819830 6265779 8354372 9639660 10442965 12531558 20885930 25063116 31328895 41771860 62657790 125315580