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1293235104 = 25371924457
BaseRepresentation
bin100110100010101…
…0011001110100000
310100010110011001110
41031011103032200
510122032010404
6332154303320
744022213510
oct11505231640
93303404043
101293235104
11603aa7747
12301127b40
13177c09a95
14c3a7d840
1578805b89
hex4d1533a0

1293235104 has 48 divisors (see below), whose sum is σ = 3879707328. Its totient is φ = 369495552.

The previous prime is 1293235103. The next prime is 1293235123. The reversal of 1293235104 is 4015323921.

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

It is not an unprimeable number, because it can be changed into a prime (1293235103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 961557 + ... + 962900.

It is an arithmetic number, because the mean of its divisors is an integer number (80827236).

Almost surely, 21293235104 is an apocalyptic number.

1293235104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1293235104 is an abundant number, since it is smaller than the sum of its proper divisors (2586472224).

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

1293235104 is a wasteful number, since it uses less digits than its factorization.

1293235104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924477 (or 1924469 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1293235104 is about 35961.5781633676. The cubic root of 1293235104 is about 1089.4964719721.

The spelling of 1293235104 in words is "one billion, two hundred ninety-three million, two hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1924457 3848914 5773371 7697828 11546742 13471199 15395656 23093484 26942398 30791312 40413597 46186968 53884796 61582624 80827194 92373936 107769592 161654388 184747872 215539184 323308776 431078368 646617552 1293235104