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125314020 = 223351317851
BaseRepresentation
bin1110111100000…
…10001111100100
322201210121112000
413132002033210
5224040022040
620233525300
73051102666
oct736021744
9281717460
10125314020
1164811307
1235b73830
131cc67910
1412900536
15b005130
hex77823e4

125314020 has 96 divisors (see below), whose sum is σ = 419879040. Its totient is φ = 30844800.

The previous prime is 125314019. The next prime is 125314027. The reversal of 125314020 is 20413521.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 125313984 and 125314002.

It is not an unprimeable number, because it can be changed into a prime (125314027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1906 + ... + 15945.

It is an arithmetic number, because the mean of its divisors is an integer number (4373740).

Almost surely, 2125314020 is an apocalyptic number.

125314020 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 125314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209939520).

125314020 is an abundant number, since it is smaller than the sum of its proper divisors (294565020).

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

125314020 is a wasteful number, since it uses less digits than its factorization.

125314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17882 (or 17874 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 125314020 is about 11194.3744800681. The cubic root of 125314020 is about 500.4183432136.

Adding to 125314020 its reverse (20413521), we get a palindrome (145727541).

The spelling of 125314020 in words is "one hundred twenty-five million, three hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 17851 35702 53553 71404 89255 107106 160659 178510 214212 232063 267765 321318 357020 464126 481977 535530 642636 696189 803295 928252 963954 1071060 1160315 1392378 1606590 1927908 2088567 2320630 2409885 2784756 3213180 3480945 4177134 4641260 4819770 6265701 6961890 8354268 9639540 10442835 12531402 13923780 20885670 25062804 31328505 41771340 62657010 125314020