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13529040 = 243578053
BaseRepresentation
bin110011100110…
…111111010000
3221110100100120
4303212333100
511430412130
61201550240
7222665160
oct63467720
927410316
1013529040
117700628
124645380
132a58c65
141b225a0
1512c3910
hexce6fd0

13529040 has 80 divisors (see below), whose sum is σ = 47937408. Its totient is φ = 3091968.

The previous prime is 13529039. The next prime is 13529041. The reversal of 13529040 is 4092531.

It is an interprime number because it is at equal distance from previous prime (13529039) and next prime (13529041).

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13529040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13529041) 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, 2347 + ... + 5706.

Almost surely, 213529040 is an apocalyptic number.

13529040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13529040 is an abundant number, since it is smaller than the sum of its proper divisors (34408368).

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

13529040 is a wasteful number, since it uses less digits than its factorization.

13529040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8076 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 13529040 is about 3678.1843346956. The cubic root of 13529040 is about 238.2807693209.

It can be divided in two parts, 135 and 29040, that multiplied together give a square (3920400 = 19802).

The spelling of 13529040 in words is "thirteen million, five hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 8053 16106 24159 32212 40265 48318 56371 64424 80530 96636 112742 120795 128848 161060 169113 193272 225484 241590 281855 322120 338226 386544 450968 483180 563710 644240 676452 845565 901936 966360 1127420 1352904 1691130 1932720 2254840 2705808 3382260 4509680 6764520 13529040