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10742058 = 23523312
BaseRepresentation
bin101000111110…
…100100101010
3202012202100000
4220332210222
510222221213
61022123430
7160206645
oct50764452
922182300
1010742058
116077738
123720576
1322c1562
1415d8a5c
15e22c73
hexa3e92a

10742058 has 72 divisors (see below), whose sum is σ = 26024544. Its totient is φ = 3314520.

The previous prime is 10742021. The next prime is 10742077. The reversal of 10742058 is 85024701.

10742058 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×107420583 (a number of 22 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 346503 + ... + 346533.

It is an arithmetic number, because the mean of its divisors is an integer number (361452).

Almost surely, 210742058 is an apocalyptic number.

10742058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13012272).

10742058 is an abundant number, since it is smaller than the sum of its proper divisors (15282486).

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

10742058 is an equidigital number, since it uses as much as digits as its factorization.

10742058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10742058 is about 3277.5078947273. The cubic root of 10742058 is about 220.6458843020.

Adding to 10742058 its reverse (85024701), we get a palindrome (95766759).

The spelling of 10742058 in words is "ten million, seven hundred forty-two thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 81 93 138 162 186 207 243 279 414 486 558 621 713 837 961 1242 1426 1674 1863 1922 2139 2511 2883 3726 4278 5022 5589 5766 6417 7533 8649 11178 12834 15066 17298 19251 22103 25947 38502 44206 51894 57753 66309 77841 115506 132618 155682 173259 198927 233523 346518 397854 467046 596781 1193562 1790343 3580686 5371029 10742058