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13147440 = 2435291889
BaseRepresentation
bin110010001001…
…110100110000
3220201221220020
4302021310300
511331204230
61145443440
7216515505
oct62116460
926657806
1013147440
11746a959
1244a0580
132954367
141a634ac
15124a810
hexc89d30

13147440 has 80 divisors (see below), whose sum is σ = 42184800. Its totient is φ = 3383296.

The previous prime is 13147427. The next prime is 13147447. The reversal of 13147440 is 4474131.

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 13147440.

It is not an unprimeable number, because it can be changed into a prime (13147447) 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, 6016 + ... + 7904.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 213147440 is an apocalyptic number.

13147440 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 13147440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092400).

13147440 is an abundant number, since it is smaller than the sum of its proper divisors (29037360).

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

13147440 is a wasteful number, since it uses less digits than its factorization.

13147440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 13147440 is about 3625.9398781557. The cubic root of 13147440 is about 236.0190542884.

The spelling of 13147440 in words is "thirteen million, one hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 1889 2320 3480 3778 5667 6960 7556 9445 11334 15112 18890 22668 28335 30224 37780 45336 54781 56670 75560 90672 109562 113340 151120 164343 219124 226680 273905 328686 438248 453360 547810 657372 821715 876496 1095620 1314744 1643430 2191240 2629488 3286860 4382480 6573720 13147440