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13296420 = 2233524623
BaseRepresentation
bin110010101110…
…001100100100
3221000112021000
4302232030210
511400441140
61152553300
7221006034
oct62561444
927015230
1013296420
117561885
124552830
1329a7107
141aa18c4
151279a30
hexcae324

13296420 has 48 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 3545568.

The previous prime is 13296419. The next prime is 13296421. The reversal of 13296420 is 2469231.

13296420 is a `hidden beast` number, since 13 + 2 + 9 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13296419) and next prime (13296421).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13296421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11772 + ... + 12851.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 213296420 is an apocalyptic number.

13296420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13296420 is an abundant number, since it is smaller than the sum of its proper divisors (28071900).

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

13296420 is a wasteful number, since it uses less digits than its factorization.

13296420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24641 (or 24633 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13296420 is about 3646.4256471235. The cubic root of 13296420 is about 236.9071900661.

The spelling of 13296420 in words is "thirteen million, two hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 24623 49246 73869 98492 123115 147738 221607 246230 295476 369345 443214 492460 664821 738690 886428 1108035 1329642 1477380 2216070 2659284 3324105 4432140 6648210 13296420