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125212520 = 23573137313
BaseRepresentation
bin1110111011010…
…01011101101000
322201121110021202
413131221131220
5224023300040
620231423332
73050201036
oct735513550
9281543252
10125212520
1164752024
1235b24b48
131cc30664
14128b5556
15aed5015
hex7769768

125212520 has 64 divisors (see below), whose sum is σ = 288591120. Its totient is φ = 48881664.

The previous prime is 125212513. The next prime is 125212523. The reversal of 125212520 is 25212521.

125212520 = 4702 + 4712 + ... + 7822.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22676644 + 102535876 = 4762^2 + 10126^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 125212492 and 125212501.

It is not an unprimeable number, because it can be changed into a prime (125212523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399884 + ... + 400196.

Almost surely, 2125212520 is an apocalyptic number.

125212520 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 125212520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144295560).

125212520 is an abundant number, since it is smaller than the sum of its proper divisors (163378600).

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

125212520 is a wasteful number, since it uses less digits than its factorization.

125212520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 125212520 is about 11189.8400346028. The cubic root of 125212520 is about 500.2831995657.

125212520 divided by its sum of digits (20) gives a palindrome (6260626).

Subtracting from 125212520 its reverse (25212521), we obtain a palindrome (99999999).

The spelling of 125212520 in words is "one hundred twenty-five million, two hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 137 146 274 292 313 365 548 584 626 685 730 1096 1252 1370 1460 1565 2504 2740 2920 3130 5480 6260 10001 12520 20002 22849 40004 42881 45698 50005 80008 85762 91396 100010 114245 171524 182792 200020 214405 228490 343048 400040 428810 456980 857620 913960 1715240 3130313 6260626 12521252 15651565 25042504 31303130 62606260 125212520