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10742004 = 22337131093
BaseRepresentation
bin101000111110…
…100011110100
3202012202021000
4220332203310
510222221004
61022123300
7160206540
oct50764364
922182230
1010742004
116077699
123720530
1322c1520
1415d8a20
15e22c39
hexa3e8f4

10742004 has 96 divisors (see below), whose sum is σ = 34307840. Its totient is φ = 2830464.

The previous prime is 10742003. The next prime is 10742021. The reversal of 10742004 is 40024701.

It is a happy number.

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 (10742003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9282 + ... + 10374.

Almost surely, 210742004 is an apocalyptic number.

10742004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153920).

10742004 is an abundant number, since it is smaller than the sum of its proper divisors (23565836).

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

10742004 is a wasteful number, since it uses less digits than its factorization.

10742004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1118 counting only the distinct ones).

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

The square root of 10742004 is about 3277.4996567506. The cubic root of 10742004 is about 220.6455145746.

10742004 divided by its sum of digits (18) gives a triangular number (596778 = T1092).

Adding to 10742004 its reverse (40024701), we get a palindrome (50766705).

The spelling of 10742004 in words is "ten million, seven hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1093 1404 1638 2186 2457 3276 3279 4372 4914 6558 7651 9828 9837 13116 14209 15302 19674 22953 28418 29511 30604 39348 42627 45906 56836 59022 68859 85254 91812 99463 118044 127881 137718 170508 198926 206577 255762 275436 298389 383643 397852 413154 511524 596778 767286 826308 895167 1193556 1534572 1790334 2685501 3580668 5371002 10742004