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1330257120 = 25353189399
BaseRepresentation
bin100111101001010…
…0001110011100000
310102201010001201020
41033102201303200
510211021211440
6340000005440
744651666433
oct11722416340
93381101636
101330257120
11622993955
12311600880
1318279ccba
14c895981a
157bbba3d0
hex4f4a1ce0

1330257120 has 96 divisors (see below), whose sum is σ = 4325529600. Its totient is φ = 343288320.

The previous prime is 1330257119. The next prime is 1330257133. The reversal of 1330257120 is 217520331.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29820 + ... + 59579.

It is an arithmetic number, because the mean of its divisors is an integer number (45057600).

Almost surely, 21330257120 is an apocalyptic number.

1330257120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330257120 is an abundant number, since it is smaller than the sum of its proper divisors (2995272480).

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

1330257120 is a wasteful number, since it uses less digits than its factorization.

1330257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89448 (or 89440 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 1330257120 is about 36472.6900570824. The cubic root of 1330257120 is about 1099.7953117762.

Adding to 1330257120 its reverse (217520331), we get a palindrome (1547777451).

The spelling of 1330257120 in words is "one billion, three hundred thirty million, two hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 89399 178798 268197 357596 446995 536394 715192 893990 1072788 1340985 1430384 1787980 2145576 2681970 2771369 2860768 3575960 4291152 5363940 5542738 7151920 8314107 8582304 10727880 11085476 13856845 14303840 16628214 21455760 22170952 27713690 33256428 41570535 42911520 44341904 55427380 66512856 83141070 88683808 110854760 133025712 166282140 221709520 266051424 332564280 443419040 665128560 1330257120