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12529740 = 22351929379
BaseRepresentation
bin101111110011…
…000001001100
3212120120120110
4233303001030
511201422430
61124320020
7211333566
oct57630114
925516513
1012529740
117088863
124243010
132799162
141942336
1511777b0
hexbf304c

12529740 has 96 divisors (see below), whose sum is σ = 38304000. Its totient is φ = 3048192.

The previous prime is 12529739. The next prime is 12529787. The reversal of 12529740 is 4792521.

12529740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12529698 and 12529707.

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, 32871 + ... + 33249.

It is an arithmetic number, because the mean of its divisors is an integer number (399000).

Almost surely, 212529740 is an apocalyptic number.

12529740 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 12529740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152000).

12529740 is an abundant number, since it is smaller than the sum of its proper divisors (25774260).

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

12529740 is a wasteful number, since it uses less digits than its factorization.

12529740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 12529740 is about 3539.7372783866. The cubic root of 12529740 is about 232.2633503750.

The spelling of 12529740 in words is "twelve million, five hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 29 30 38 57 58 60 76 87 95 114 116 145 174 190 228 285 290 348 379 380 435 551 570 580 758 870 1102 1137 1140 1516 1653 1740 1895 2204 2274 2755 3306 3790 4548 5510 5685 6612 7201 7580 8265 10991 11020 11370 14402 16530 21603 21982 22740 28804 32973 33060 36005 43206 43964 54955 65946 72010 86412 108015 109910 131892 144020 164865 208829 216030 219820 329730 417658 432060 626487 659460 835316 1044145 1252974 2088290 2505948 3132435 4176580 6264870 12529740