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13469040 = 24325131439
BaseRepresentation
bin110011011000…
…010101110000
3221100022001100
4303120111300
511422002130
61200404400
7222325224
oct63302560
927308040
1013469040
11766a542
124616700
132a37860
141b08784
1512b0c60
hexcd8570

13469040 has 120 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 3313152.

The previous prime is 13469023. The next prime is 13469047. The reversal of 13469040 is 4096431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 13468995 and 13469013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13469047) 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 23 ways as a sum of consecutive naturals, for example, 8641 + ... + 10079.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 213469040 is an apocalyptic number.

13469040 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 13469040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

13469040 is an abundant number, since it is smaller than the sum of its proper divisors (35277840).

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

13469040 is a wasteful number, since it uses less digits than its factorization.

13469040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1462 counting only the distinct ones).

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

The square root of 13469040 is about 3670.0190735199. The cubic root of 13469040 is about 237.9279964847.

The spelling of 13469040 in words is "thirteen million, four hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1439 1560 1872 2340 2878 3120 4317 4680 5756 7195 8634 9360 11512 12951 14390 17268 18707 21585 23024 25902 28780 34536 37414 43170 51804 56121 57560 64755 69072 74828 86340 93535 103608 112242 115120 129510 149656 168363 172680 187070 207216 224484 259020 280605 299312 336726 345360 374140 448968 518040 561210 673452 748280 841815 897936 1036080 1122420 1346904 1496560 1683630 2244840 2693808 3367260 4489680 6734520 13469040