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134160390 = 232571316381
BaseRepresentation
bin1111111111100…
…10000000000110
3100100110001110100
413333302000012
5233321113030
621151304530
73216226110
oct777620006
9310401410
10134160390
1169803761
1238b1b146
1321a44360
1413b643b0
15bba1360
hex7ff2006

134160390 has 96 divisors (see below), whose sum is σ = 429339456. Its totient is φ = 28304640.

The previous prime is 134160373. The next prime is 134160443. The reversal of 134160390 is 93061431.

134160390 is a `hidden beast` number, since 13 + 41 + 603 + 9 + 0 = 666.

134160390 is a nontrivial binomial coefficient, being equal to C(16381, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1 + ... + 16380.

It is an arithmetic number, because the mean of its divisors is an integer number (4472286).

Almost surely, 2134160390 is an apocalyptic number.

134160390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134160390 is the 16380-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134160390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214669728).

134160390 is an abundant number, since it is smaller than the sum of its proper divisors (295179066).

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

134160390 is a wasteful number, since it uses less digits than its factorization.

134160390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16414 (or 16411 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 134160390 is about 11582.7626238303. The cubic root of 134160390 is about 511.9270805780.

The spelling of 134160390 in words is "one hundred thirty-four million, one hundred sixty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 16381 32762 49143 81905 98286 114667 147429 163810 212953 229334 245715 294858 344001 425906 491430 573335 638859 688002 737145 1032003 1064765 1146670 1277718 1474290 1490671 1720005 1916577 2064006 2129530 2981342 3194295 3440010 3833154 4472013 5160015 6388590 7453355 8944026 9582885 10320030 13416039 14906710 19165770 22360065 26832078 44720130 67080195 134160390