Search a number
-
+
13194120 = 2335432557
BaseRepresentation
bin110010010101…
…001110001000
3220211022221010
4302111032020
511334202440
61150443520
7220101552
oct62251610
926738833
1013194120
1174a1a35
1245035a0
13296c694
141a764d2
151259580
hexc95388

13194120 has 64 divisors (see below), whose sum is σ = 40518720. Its totient is φ = 3435264.

The previous prime is 13194119. The next prime is 13194121. The reversal of 13194120 is 2149131.

It is an interprime number because it is at equal distance from previous prime (13194119) and next prime (13194121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13194121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3882 + ... + 6438.

It is an arithmetic number, because the mean of its divisors is an integer number (633105).

Almost surely, 213194120 is an apocalyptic number.

13194120 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 13194120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20259360).

13194120 is an abundant number, since it is smaller than the sum of its proper divisors (27324600).

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

13194120 is a wasteful number, since it uses less digits than its factorization.

13194120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 13194120 is about 3632.3711264132. The cubic root of 13194120 is about 236.2980529896.

The spelling of 13194120 in words is "thirteen million, one hundred ninety-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2557 2580 5114 5160 7671 10228 12785 15342 20456 25570 30684 38355 51140 61368 76710 102280 109951 153420 219902 306840 329853 439804 549755 659706 879608 1099510 1319412 1649265 2199020 2638824 3298530 4398040 6597060 13194120