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10040742 = 2322379307
BaseRepresentation
bin100110010011…
…010110100110
3200220010022100
4212103112212
510032300432
6555112530
7151226205
oct46232646
920803270
1010040742
115738838
123442746
13210728a
14149523c
15d3507c
hex9935a6

10040742 has 48 divisors (see below), whose sum is σ = 23063040. Its totient is φ = 3150576.

The previous prime is 10040741. The next prime is 10040791. The reversal of 10040742 is 24704001.

It is a happy number.

10040742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32553 + ... + 32859.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 210040742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531520).

10040742 is an abundant number, since it is smaller than the sum of its proper divisors (13022298).

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

10040742 is a wasteful number, since it uses less digits than its factorization.

10040742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10040742 is about 3168.7129879495. The cubic root of 10040742 is about 215.7356591418.

Adding to 10040742 its reverse (24704001), we get a palindrome (34744743).

The spelling of 10040742 in words is "ten million, forty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 79 138 158 207 237 307 414 474 614 711 921 1422 1817 1842 2763 3634 5451 5526 7061 10902 14122 16353 21183 24253 32706 42366 48506 63549 72759 127098 145518 218277 436554 557819 1115638 1673457 3346914 5020371 10040742