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13140160 = 265113733
BaseRepresentation
bin110010001000…
…000011000000
3220201120220121
4302020003000
511330441120
61145350024
7216455335
oct62100300
926646817
1013140160
117465440
124498314
132950c57
141a6098c
1512485aa
hexc880c0

13140160 has 56 divisors (see below), whose sum is σ = 34143696. Its totient is φ = 4776960.

The previous prime is 13140157. The next prime is 13140163. The reversal of 13140160 is 6104131.

It is an interprime number because it is at equal distance from previous prime (13140157) and next prime (13140163).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13140163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1654 + ... + 5386.

Almost surely, 213140160 is an apocalyptic number.

13140160 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 13140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17071848).

13140160 is an abundant number, since it is smaller than the sum of its proper divisors (21003536).

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

13140160 is a wasteful number, since it uses less digits than its factorization.

13140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 13140160 is about 3624.9358615016. The cubic root of 13140160 is about 235.9754834247.

Adding to 13140160 its reverse (6104131), we get a palindrome (19244291).

The spelling of 13140160 in words is "thirteen million, one hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 3733 7466 14932 18665 29864 37330 41063 59728 74660 82126 119456 149320 164252 205315 238912 298640 328504 410630 597280 657008 821260 1194560 1314016 1642520 2628032 3285040 6570080 13140160