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1308013920 = 25345100927
BaseRepresentation
bin100110111110110…
…1011010101100000
310101011020222210000
41031331223111200
510134322421140
6333443140000
744261635443
oct11575532540
93334228700
101308013920
11611381244
12306074600
1317acb2845
14c5a0965a
1579c74a30
hex4df6b560

1308013920 has 120 divisors (see below), whose sum is σ = 4616244864. Its totient is φ = 348800256.

The previous prime is 1308013913. The next prime is 1308013921. The reversal of 1308013920 is 293108031.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1308013921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37504 + ... + 63423.

Almost surely, 21308013920 is an apocalyptic number.

1308013920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1308013920 is an abundant number, since it is smaller than the sum of its proper divisors (3308230944).

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

1308013920 is a wasteful number, since it uses less digits than its factorization.

1308013920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100954 (or 100937 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1308013920 is about 36166.4750839780. The cubic root of 1308013920 is about 1093.6309405315.

It can be divided in two parts, 13080 and 13920, that added together give a cube (27000 = 303).

The spelling of 1308013920 in words is "one billion, three hundred eight million, thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 100927 201854 302781 403708 504635 605562 807416 908343 1009270 1211124 1513905 1614832 1816686 2018540 2422248 2725029 3027810 3229664 3633372 4037080 4541715 4844496 5450058 6055620 7266744 8074160 8175087 9083430 9688992 10900116 12111240 13625145 14533488 16148320 16350174 18166860 21800232 24222480 27250290 29066976 32700348 36333720 40875435 43600464 48444960 54500580 65400696 72667440 81750870 87200928 109001160 130801392 145334880 163501740 218002320 261602784 327003480 436004640 654006960 1308013920