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13327488 = 273223503
BaseRepresentation
bin110010110101…
…110010000000
3221002002212200
4302311302000
511402434423
61153353200
7221165436
oct62656200
927062780
1013327488
117583159
124568800
1329b82b5
141aacd56
151283d43
hexcb5c80

13327488 has 96 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 4240896.

The previous prime is 13327477. The next prime is 13327499. The reversal of 13327488 is 88472331.

It is an interprime number because it is at equal distance from previous prime (13327477) and next prime (13327499).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26245 + ... + 26747.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 213327488 is an apocalyptic number.

13327488 is a gapful number since it is divisible by the number (18) 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 13327488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

13327488 is an abundant number, since it is smaller than the sum of its proper divisors (26770752).

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

13327488 is a wasteful number, since it uses less digits than its factorization.

13327488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 531 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13327488 is about 3650.6832237268. The cubic root of 13327488 is about 237.0915631893.

The spelling of 13327488 in words is "thirteen million, three hundred twenty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 503 552 576 736 828 1006 1104 1152 1472 1509 1656 2012 2208 2944 3018 3312 4024 4416 4527 6036 6624 8048 8832 9054 11569 12072 13248 16096 18108 23138 24144 26496 32192 34707 36216 46276 48288 64384 69414 72432 92552 96576 104121 138828 144864 185104 193152 208242 277656 289728 370208 416484 555312 579456 740416 832968 1110624 1480832 1665936 2221248 3331872 4442496 6663744 13327488