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12349480 = 235111317127
BaseRepresentation
bin101111000111…
…000000101000
3212020102022011
4233013000220
511130140410
61120405304
7206653213
oct57070050
925212264
1012349480
116a75390
124176834
1327350b0
1418d677a
15113e18a
hexbc7028

12349480 has 128 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3870720.

The previous prime is 12349433. The next prime is 12349489. The reversal of 12349480 is 8494321.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12349489) 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, 97177 + ... + 97303.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 212349480 is an apocalyptic number.

12349480 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 12349480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

12349480 is an abundant number, since it is smaller than the sum of its proper divisors (22487000).

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

12349480 is a wasteful number, since it uses less digits than its factorization.

12349480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 12349480 is about 3514.1826930312. The cubic root of 12349480 is about 231.1441414685.

The spelling of 12349480 in words is "twelve million, three hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 17 20 22 26 34 40 44 52 55 65 68 85 88 104 110 127 130 136 143 170 187 220 221 254 260 286 340 374 440 442 508 520 572 635 680 715 748 884 935 1016 1105 1144 1270 1397 1430 1496 1651 1768 1870 2159 2210 2431 2540 2794 2860 3302 3740 4318 4420 4862 5080 5588 5720 6604 6985 7480 8255 8636 8840 9724 10795 11176 12155 13208 13970 16510 17272 18161 19448 21590 23749 24310 27940 28067 33020 36322 43180 47498 48620 55880 56134 66040 72644 86360 90805 94996 97240 112268 118745 140335 145288 181610 189992 224536 237490 280670 308737 363220 474980 561340 617474 726440 949960 1122680 1234948 1543685 2469896 3087370 6174740 12349480