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13452390 = 23257131163
BaseRepresentation
bin110011010100…
…010001100110
3221022110012200
4303110101212
511420434030
61200155330
7222225540
oct63242146
927273180
1013452390
117658a86
124608b46
132a300c3
141b02690
1512aad60
hexcd4466

13452390 has 96 divisors (see below), whose sum is σ = 40525056. Its totient is φ = 3032640.

The previous prime is 13452359. The next prime is 13452403. The reversal of 13452390 is 9325431.

13452390 is a `hidden beast` number, since 134 + 523 + 9 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82449 + ... + 82611.

It is an arithmetic number, because the mean of its divisors is an integer number (422136).

Almost surely, 213452390 is an apocalyptic number.

13452390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13452390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20262528).

13452390 is an abundant number, since it is smaller than the sum of its proper divisors (27072666).

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

13452390 is a wasteful number, since it uses less digits than its factorization.

13452390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 13452390 is about 3667.7499914798. The cubic root of 13452390 is about 237.8299163784.

The spelling of 13452390 in words is "thirteen million, four hundred fifty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 131 163 210 262 315 326 393 489 630 655 786 815 917 978 1141 1179 1310 1467 1630 1834 1965 2282 2358 2445 2751 2934 3423 3930 4585 4890 5502 5705 5895 6846 7335 8253 9170 10269 11410 11790 13755 14670 16506 17115 20538 21353 27510 34230 41265 42706 51345 64059 82530 102690 106765 128118 149471 192177 213530 298942 320295 384354 448413 640590 747355 896826 960885 1345239 1494710 1921770 2242065 2690478 4484130 6726195 13452390