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10042362 = 2321167757
BaseRepresentation
bin100110010011…
…101111111010
3200220012112100
4212103233322
510032323422
6555124230
7151234011
oct46235772
920805470
1010042362
115739a80
123443676
132107c35
141495a78
15d357ac
hex993bfa

10042362 has 48 divisors (see below), whose sum is σ = 24122592. Its totient is φ = 2993760.

The previous prime is 10042343. The next prime is 10042379. The reversal of 10042362 is 26324001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 12888 + ... + 13644.

It is an arithmetic number, because the mean of its divisors is an integer number (502554).

Almost surely, 210042362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12061296).

10042362 is an abundant number, since it is smaller than the sum of its proper divisors (14080230).

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

10042362 is a wasteful number, since it uses less digits than its factorization.

10042362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10042362 is about 3168.9686019271. The cubic root of 10042362 is about 215.7472609728.

Adding to 10042362 its reverse (26324001), we get a palindrome (36366363).

It can be divided in two parts, 100423 and 62, that multiplied together give a palindrome (6226226).

The spelling of 10042362 in words is "ten million, forty-two thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 402 603 737 757 1206 1474 1514 2211 2271 4422 4542 6633 6813 8327 13266 13626 16654 24981 49962 50719 74943 101438 149886 152157 304314 456471 557909 912942 1115818 1673727 3347454 5021181 10042362