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10306693620 = 2232557259409
BaseRepresentation
bin10011001100101001…
…11010100111110100
3222121021212021200100
421212110322213310
5132102003143440
64422420114100
7513260310306
oct114624724764
928537767610
1010306693620
114409950513
121bb7835930
13c833bcba2
146dab99976
15404c90230
hex26653a9f4

10306693620 has 36 divisors (see below), whose sum is σ = 31263637860. Its totient is φ = 2748451584.

The previous prime is 10306693603. The next prime is 10306693667. The reversal of 10306693620 is 2639660301.

It can be written as a sum of positive squares in 2 ways, for example, as 7722191376 + 2584502244 = 87876^2 + 50838^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28629525 + ... + 28629884.

It is an arithmetic number, because the mean of its divisors is an integer number (868434385).

Almost surely, 210306693620 is an apocalyptic number.

10306693620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10306693620 is an abundant number, since it is smaller than the sum of its proper divisors (20956944240).

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

10306693620 is a wasteful number, since it uses less digits than its factorization.

10306693620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57259424 (or 57259419 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

It can be divided in two parts, 1030669 and 3620, that added together give a square (1034289 = 10172).

The spelling of 10306693620 in words is "ten billion, three hundred six million, six hundred ninety-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 57259409 114518818 171778227 229037636 286297045 343556454 515334681 572594090 687112908 858891135 1030669362 1145188180 1717782270 2061338724 2576673405 3435564540 5153346810 10306693620