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10540668 = 2231983557
BaseRepresentation
bin101000001101…
…011001111100
3201211112002010
4220031121330
510144300133
61013531220
7155410545
oct50153174
921745063
1010540668
115a4a3a6
123643b10
1322509a8
1415854cc
15dd3263
hexa0d67c

10540668 has 48 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 3282624.

The previous prime is 10540667. The next prime is 10540669. The reversal of 10540668 is 86604501.

10540668 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10540667) and next prime (10540669).

It is a super-2 number, since 2×105406682 = 222211363772448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18646 + ... + 19202.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 210540668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10540668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

10540668 is an abundant number, since it is smaller than the sum of its proper divisors (15707652).

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

10540668 is a wasteful number, since it uses less digits than its factorization.

10540668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 10540668 is about 3246.6394933839. The cubic root of 10540668 is about 219.2583011757.

The spelling of 10540668 in words is "ten million, five hundred forty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 498 557 996 1114 1577 1671 2228 3154 3342 4731 6308 6684 9462 10583 18924 21166 31749 42332 46231 63498 92462 126996 138693 184924 277386 554772 878389 1756778 2635167 3513556 5270334 10540668