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13414520 = 2357232083
BaseRepresentation
bin110011001011…
…000001111000
3221020112021002
4303023001320
511413231040
61155304132
7222010250
oct63130170
927215232
1013414520
117632589
1245ab048
132a18ab2
141ad2960
15129ea15
hexccb078

13414520 has 64 divisors (see below), whose sum is σ = 36011520. Its totient is φ = 4397184.

The previous prime is 13414519. The next prime is 13414549. The reversal of 13414520 is 2541431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13414492 and 13414501.

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 15 ways as a sum of consecutive naturals, for example, 5399 + ... + 7481.

It is an arithmetic number, because the mean of its divisors is an integer number (562680).

Almost surely, 213414520 is an apocalyptic number.

13414520 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 13414520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18005760).

13414520 is an abundant number, since it is smaller than the sum of its proper divisors (22597000).

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

13414520 is a wasteful number, since it uses less digits than its factorization.

13414520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 13414520 is about 3662.5837874375. The cubic root of 13414520 is about 237.6065339230.

Adding to 13414520 its reverse (2541431), we get a palindrome (15955951).

The spelling of 13414520 in words is "thirteen million, four hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 2083 3220 4166 6440 8332 10415 14581 16664 20830 29162 41660 47909 58324 72905 83320 95818 116648 145810 191636 239545 291620 335363 383272 479090 583240 670726 958180 1341452 1676815 1916360 2682904 3353630 6707260 13414520