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13401520 = 2451197157
BaseRepresentation
bin110011000111…
…110110110000
3221012212102121
4303013312300
511412322040
61155124024
7221624326
oct63076660
927185377
1013401520
117623840
1245a3614
132a12bc2
141acbd16
15129ac4a
hexcc7db0

13401520 has 80 divisors (see below), whose sum is σ = 34560288. Its totient is φ = 4792320.

The previous prime is 13401503. The next prime is 13401523. The reversal of 13401520 is 2510431.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 13401494 and 13401503.

It is not an unprimeable number, because it can be changed into a prime (13401523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85282 + ... + 85438.

Almost surely, 213401520 is an apocalyptic number.

13401520 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 13401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280144).

13401520 is an abundant number, since it is smaller than the sum of its proper divisors (21158768).

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

13401520 is a wasteful number, since it uses less digits than its factorization.

13401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 13401520 is about 3660.8086538359. The cubic root of 13401520 is about 237.5297543516.

Adding to 13401520 its reverse (2510431), we get a palindrome (15911951).

The spelling of 13401520 in words is "thirteen million, four hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 97 110 157 176 194 220 314 388 440 485 628 776 785 880 970 1067 1256 1552 1570 1727 1940 2134 2512 3140 3454 3880 4268 5335 6280 6908 7760 8536 8635 10670 12560 13816 15229 17072 17270 21340 27632 30458 34540 42680 60916 69080 76145 85360 121832 138160 152290 167519 243664 304580 335038 609160 670076 837595 1218320 1340152 1675190 2680304 3350380 6700760 13401520