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12427520 = 28571973
BaseRepresentation
bin101111011010…
…000100000000
3212101101100112
4233122010000
511140140040
61122210452
7210426560
oct57320400
925341315
1012427520
117018a86
1241b3a28
132761781
141916da0
151157365
hexbda100

12427520 has 144 divisors (see below), whose sum is σ = 36301440. Its totient is φ = 3981312.

The previous prime is 12427511. The next prime is 12427579. The reversal of 12427520 is 2572421.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170204 + ... + 170276.

Almost surely, 212427520 is an apocalyptic number.

12427520 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 12427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150720).

12427520 is an abundant number, since it is smaller than the sum of its proper divisors (23873920).

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

12427520 is an equidigital number, since it uses as much as digits as its factorization.

12427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 12427520 is about 3525.2687840787. The cubic root of 12427520 is about 231.6300087492.

Adding to 12427520 its reverse (2572421), we get a palindrome (14999941).

The spelling of 12427520 in words is "twelve million, four hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 73 76 80 95 112 128 133 140 146 152 160 190 224 256 266 280 292 304 320 365 380 448 511 532 560 584 608 640 665 730 760 896 1022 1064 1120 1168 1216 1280 1330 1387 1460 1520 1792 2044 2128 2240 2336 2432 2555 2660 2774 2920 3040 4088 4256 4480 4672 4864 5110 5320 5548 5840 6080 6935 8176 8512 8960 9344 9709 10220 10640 11096 11680 12160 13870 16352 17024 18688 19418 20440 21280 22192 23360 24320 27740 32704 34048 38836 40880 42560 44384 46720 48545 55480 65408 77672 81760 85120 88768 93440 97090 110960 130816 155344 163520 170240 177536 194180 221920 310688 327040 355072 388360 443840 621376 654080 776720 887680 1242752 1553440 1775360 2485504 3106880 6213760 12427520