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1304102000 = 24533717623
BaseRepresentation
bin100110110111011…
…0000010001110000
310100212220020122002
41031232300101300
510132322231000
6333223233132
744213453435
oct11556602160
93325806562
101304102000
1160a14a153
123048a87a8
1317a2430b6
14c52abb8c
15797508d5
hex4dbb0470

1304102000 has 80 divisors (see below), whose sum is σ = 3238727232. Its totient is φ = 507513600.

The previous prime is 1304101999. The next prime is 1304102021. The reversal of 1304102000 is 2014031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 65189 + ... + 82811.

Almost surely, 21304102000 is an apocalyptic number.

1304102000 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 1304102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619363616).

1304102000 is an abundant number, since it is smaller than the sum of its proper divisors (1934625232).

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

1304102000 is a wasteful number, since it uses less digits than its factorization.

1304102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17683 (or 17667 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1304102000 is about 36112.3524572964. The cubic root of 1304102000 is about 1092.5395992328.

Adding to 1304102000 its reverse (2014031), we get a palindrome (1306116031).

The spelling of 1304102000 in words is "one billion, three hundred four million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1850 2000 2960 3700 4625 7400 9250 14800 17623 18500 35246 37000 70492 74000 88115 140984 176230 281968 352460 440575 652051 704920 881150 1304102 1409840 1762300 2202875 2608204 3260255 3524600 4405750 5216408 6520510 7049200 8811500 10432816 13041020 16301275 17623000 26082040 32602550 35246000 52164080 65205100 81506375 130410200 163012750 260820400 326025500 652051000 1304102000