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10267973940 = 2235724447557
BaseRepresentation
bin10011001000000010…
…01101100100110100
3222111121000010021010
421210001031210310
5132012100131230
64414514152220
7512310224040
oct114401154464
928447003233
1010267973940
11439a004884
121ba6882670
13c78384033
146d599b020
154016929b0
hex26404d934

10267973940 has 48 divisors (see below), whose sum is σ = 32857517952. Its totient is φ = 2346965376.

The previous prime is 10267973929. The next prime is 10267973953. The reversal of 10267973940 is 4937976201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10267973940.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12223359 + ... + 12224198.

It is an arithmetic number, because the mean of its divisors is an integer number (684531624).

Almost surely, 210267973940 is an apocalyptic number.

10267973940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10267973940 is an abundant number, since it is smaller than the sum of its proper divisors (22589544012).

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

10267973940 is a wasteful number, since it uses less digits than its factorization.

10267973940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24447576 (or 24447574 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 10267973940 in words is "ten billion, two hundred sixty-seven million, nine hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 24447557 48895114 73342671 97790228 122237785 146685342 171132899 244475570 293370684 342265798 366713355 488951140 513398697 684531596 733426710 855664495 1026797394 1466853420 1711328990 2053594788 2566993485 3422657980 5133986970 10267973940