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1300025040 = 24359755843
BaseRepresentation
bin100110101111100…
…1100111011010000
310100121020010002120
41031133030323100
510130301300130
6333000014240
744134013316
oct11537147320
93317203076
101300025040
11607915066
12303461380
131794464b2
14c492a0b6
15791e7910
hex4d7cced0

1300025040 has 80 divisors (see below), whose sum is σ = 4071697728. Its totient is φ = 343093248.

The previous prime is 1300025039. The next prime is 1300025101. The reversal of 1300025040 is 405200031.

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 (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4642 + ... + 51201.

Almost surely, 21300025040 is an apocalyptic number.

1300025040 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 1300025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035848864).

1300025040 is an abundant number, since it is smaller than the sum of its proper divisors (2771672688).

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

1300025040 is a wasteful number, since it uses less digits than its factorization.

1300025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55956 (or 55950 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1300025040 is about 36055.8599952906. The cubic root of 1300025040 is about 1091.3998903181.

Adding to 1300025040 its reverse (405200031), we get a palindrome (1705225071).

The spelling of 1300025040 in words is "one billion, three hundred million, twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4656 5820 7760 11640 23280 55843 111686 167529 223372 279215 335058 446744 558430 670116 837645 893488 1116860 1340232 1675290 2233720 2680464 3350580 4467440 5416771 6701160 10833542 13402320 16250313 21667084 27083855 32500626 43334168 54167710 65001252 81251565 86668336 108335420 130002504 162503130 216670840 260005008 325006260 433341680 650012520 1300025040