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10141940 = 2253491453
BaseRepresentation
bin100110101100…
…000011110100
3201002021010102
4212230003310
510044020230
61001213232
7152130224
oct46540364
921067112
1010141940
1157a7876
123491218
132141363
1414c0084
15d55045
hex9ac0f4

10141940 has 24 divisors (see below), whose sum is σ = 21373800. Its totient is φ = 4042368.

The previous prime is 10141933. The next prime is 10141951. The reversal of 10141940 is 4914101.

It can be written as a sum of positive squares in 4 ways, for example, as 4787344 + 5354596 = 2188^2 + 2314^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6254 + ... + 7706.

It is an arithmetic number, because the mean of its divisors is an integer number (890575).

Almost surely, 210141940 is an apocalyptic number.

10141940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141940 is an abundant number, since it is smaller than the sum of its proper divisors (11231860).

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

10141940 is a wasteful number, since it uses less digits than its factorization.

10141940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10141940 is about 3184.6412670817. The cubic root of 10141940 is about 216.4580187309.

The spelling of 10141940 in words is "ten million, one hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 349 698 1396 1453 1745 2906 3490 5812 6980 7265 14530 29060 507097 1014194 2028388 2535485 5070970 10141940