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1303076640 = 25352714743
BaseRepresentation
bin100110110101011…
…0101111100100000
310100210222011002210
41031222311330200
510132041423030
6333145242120
744201653155
oct11552657440
93323864083
101303076640
11609609848
12304493340
13179c74488
14c50c222c
15795ebbb0
hex4dab5f20

1303076640 has 48 divisors (see below), whose sum is σ = 4104692928. Its totient is φ = 347486976.

The previous prime is 1303076629. The next prime is 1303076647. The reversal of 1303076640 is 466703031.

1303076640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1303076598 and 1303076607.

It is not an unprimeable number, because it can be changed into a prime (1303076647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1356892 + ... + 1357851.

It is an arithmetic number, because the mean of its divisors is an integer number (85514436).

Almost surely, 21303076640 is an apocalyptic number.

1303076640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303076640 is an abundant number, since it is smaller than the sum of its proper divisors (2801616288).

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

1303076640 is a wasteful number, since it uses less digits than its factorization.

1303076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714761 (or 2714753 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 1303076640 is about 36098.1528613307. The cubic root of 1303076640 is about 1092.2531849972.

Adding to 1303076640 its reverse (466703031), we get a palindrome (1769779671).

The spelling of 1303076640 in words is "one billion, three hundred three million, seventy-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2714743 5429486 8144229 10858972 13573715 16288458 21717944 27147430 32576916 40721145 43435888 54294860 65153832 81442290 86871776 108589720 130307664 162884580 217179440 260615328 325769160 434358880 651538320 1303076640