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10742619 = 319229823
BaseRepresentation
bin101000111110…
…101101011011
3202012210002210
4220332231123
510222230434
61022130203
7160211406
oct50765533
922183083
1010742619
1160780a8
123720963
1322c18a4
1415d8d3d
15e22ee9
hexa3eb5b

10742619 has 16 divisors (see below), whose sum is σ = 15161600. Its totient is φ = 6746976.

The previous prime is 10742597. The next prime is 10742621. The reversal of 10742619 is 91624701.

It is a happy number.

It is not a de Polignac number, because 10742619 - 27 = 10742491 is a prime.

It is a super-3 number, since 3×107426193 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10742629) 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, 12642 + ... + 13464.

It is an arithmetic number, because the mean of its divisors is an integer number (947600).

Almost surely, 210742619 is an apocalyptic number.

10742619 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10742619 is a deficient number, since it is larger than the sum of its proper divisors (4418981).

10742619 is a wasteful number, since it uses less digits than its factorization.

10742619 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10742619 is about 3277.5934769279. The cubic root of 10742619 is about 220.6497252850.

The spelling of 10742619 in words is "ten million, seven hundred forty-two thousand, six hundred nineteen".

Divisors: 1 3 19 57 229 687 823 2469 4351 13053 15637 46911 188467 565401 3580873 10742619