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13434520 = 23511191607
BaseRepresentation
bin110011001111…
…111010011000
3221021112200211
4303033322120
511414401040
61155540504
7222122461
oct63177230
927245624
1013434520
117646610
1245ba734
132a24c28
141ad9d68
1512a58ea
hexccfe98

13434520 has 64 divisors (see below), whose sum is σ = 34732800. Its totient is φ = 4625280.

The previous prime is 13434481. The next prime is 13434521. The reversal of 13434520 is 2543431.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13434491 and 13434500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434521) 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, 7557 + ... + 9163.

It is an arithmetic number, because the mean of its divisors is an integer number (542700).

Almost surely, 213434520 is an apocalyptic number.

13434520 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 13434520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366400).

13434520 is an abundant number, since it is smaller than the sum of its proper divisors (21298280).

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

13434520 is a wasteful number, since it uses less digits than its factorization.

13434520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 13434520 is about 3665.3130834896. The cubic root of 13434520 is about 237.7245595388.

Adding to 13434520 its reverse (2543431), we get a palindrome (15977951).

The spelling of 13434520 in words is "thirteen million, four hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1607 1672 2090 3214 4180 6428 8035 8360 12856 16070 17677 30533 32140 35354 61066 64280 70708 88385 122132 141416 152665 176770 244264 305330 335863 353540 610660 671726 707080 1221320 1343452 1679315 2686904 3358630 6717260 13434520