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10141640 = 235713571
BaseRepresentation
bin100110101011…
…111111001000
3201002020201022
4212223333020
510044013030
61001212012
7152126315
oct46537710
921066638
1010141640
1157a7623
123491008
132141192
1414bdd0c
15d54de5
hex9abfc8

10141640 has 32 divisors (see below), whose sum is σ = 23146560. Its totient is φ = 3998400.

The previous prime is 10141631. The next prime is 10141667. The reversal of 10141640 is 4614101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055 + ... + 4625.

It is an arithmetic number, because the mean of its divisors is an integer number (723330).

Almost surely, 210141640 is an apocalyptic number.

10141640 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 10141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11573280).

10141640 is an abundant number, since it is smaller than the sum of its proper divisors (13004920).

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

10141640 is a wasteful number, since it uses less digits than its factorization.

10141640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10141640 is about 3184.5941656670. The cubic root of 10141640 is about 216.4558844237.

Adding to 10141640 its reverse (4614101), we get a palindrome (14755741).

The spelling of 10141640 in words is "ten million, one hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 3571 7142 14284 17855 28568 35710 71420 142840 253541 507082 1014164 1267705 2028328 2535410 5070820 10141640