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1306993020 = 2235206310559
BaseRepresentation
bin100110111100111…
…0010000101111100
310101002100010100220
41031321302011330
510134042234040
6333405221340
744250154164
oct11571620574
93332303326
101306993020
11610844223
12305861850
1317aa15c68
14c58215a4
1579b222d0
hex4de7217c

1306993020 has 48 divisors (see below), whose sum is σ = 3661701120. Its totient is φ = 348329536.

The previous prime is 1306993003. The next prime is 1306993021. The reversal of 1306993020 is 203996031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306993021) by changing a digit.

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, 118501 + ... + 129059.

It is an arithmetic number, because the mean of its divisors is an integer number (76285440).

Almost surely, 21306993020 is an apocalyptic number.

1306993020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306993020 is an abundant number, since it is smaller than the sum of its proper divisors (2354708100).

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

1306993020 is a wasteful number, since it uses less digits than its factorization.

1306993020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12634 (or 12632 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 1306993020 is about 36152.3584292920. The cubic root of 1306993020 is about 1093.3463415152.

The spelling of 1306993020 in words is "one billion, three hundred six million, nine hundred ninety-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2063 4126 6189 8252 10315 10559 12378 20630 21118 24756 30945 31677 41260 42236 52795 61890 63354 105590 123780 126708 158385 211180 316770 633540 21783217 43566434 65349651 87132868 108916085 130699302 217832170 261398604 326748255 435664340 653496510 1306993020