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10194640 = 245192353
BaseRepresentation
bin100110111000…
…111011010000
3201011221102021
4212320323100
510102212030
61002301224
7152436661
oct46707320
921157367
1010194640
115833425
1234b7814
13215c341
1414d5368
15d6597a
hex9b8ed0

10194640 has 60 divisors (see below), whose sum is σ = 25086564. Its totient is φ = 3852288.

The previous prime is 10194607. The next prime is 10194707. The reversal of 10194640 is 4649101.

10194640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3904576 + 6290064 = 1976^2 + 2508^2 .

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, 28704 + ... + 29056.

Almost surely, 210194640 is an apocalyptic number.

10194640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10194640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12543282).

10194640 is an abundant number, since it is smaller than the sum of its proper divisors (14891924).

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

10194640 is a wasteful number, since it uses less digits than its factorization.

10194640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 10194640 is about 3192.9046337152. The cubic root of 10194640 is about 216.8322941322.

The spelling of 10194640 in words is "ten million, one hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 353 361 380 706 722 760 1412 1444 1520 1765 1805 2824 2888 3530 3610 5648 5776 6707 7060 7220 13414 14120 14440 26828 28240 28880 33535 53656 67070 107312 127433 134140 254866 268280 509732 536560 637165 1019464 1274330 2038928 2548660 5097320 10194640