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10739142 = 235191163
BaseRepresentation
bin101000111101…
…110111000110
3202012121100000
4220331313012
510222123032
61022102130
7160165311
oct50756706
922177300
1010739142
116075527
12371a946
1322c012b
1415d7978
15e21e7c
hexa3ddc6

10739142 has 48 divisors (see below), whose sum is σ = 25421760. Its totient is φ = 3388392.

The previous prime is 10739129. The next prime is 10739153. The reversal of 10739142 is 24193701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8653 + ... + 9815.

It is an arithmetic number, because the mean of its divisors is an integer number (529620).

Almost surely, 210739142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10739142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12710880).

10739142 is an abundant number, since it is smaller than the sum of its proper divisors (14682618).

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

10739142 is a wasteful number, since it uses less digits than its factorization.

10739142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10739142 is about 3277.0630143468. The cubic root of 10739142 is about 220.6259172520.

The spelling of 10739142 in words is "ten million, seven hundred thirty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1163 1539 2326 3078 3489 4617 6978 9234 10467 20934 22097 31401 44194 62802 66291 94203 132582 188406 198873 282609 397746 565218 596619 1193238 1789857 3579714 5369571 10739142