[go: up one dir, main page]

Search a number
-
+
10042260 = 22351923383
BaseRepresentation
bin100110010011…
…101110010100
3200220012101120
4212103232110
510032323020
6555123540
7151233504
oct46235624
920805346
1010042260
115739998
1234435b0
132107b87
141495a04
15d35740
hex993b94

10042260 has 96 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 2420352.

The previous prime is 10042199. The next prime is 10042289. The reversal of 10042260 is 6224001.

10042260 = 1362 + 1372 + ... + 3192.

10042260 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26029 + ... + 26411.

It is an arithmetic number, because the mean of its divisors is an integer number (322560).

Almost surely, 210042260 is an apocalyptic number.

10042260 is a gapful number since it is divisible by the number (10) 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 10042260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

10042260 is an abundant number, since it is smaller than the sum of its proper divisors (20923500).

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

10042260 is a wasteful number, since it uses less digits than its factorization.

10042260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10042260 is about 3168.9525083220. The cubic root of 10042260 is about 215.7465305239.

Adding to 10042260 its reverse (6224001), we get a palindrome (16266261).

The spelling of 10042260 in words is "ten million, forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 383 437 460 570 690 766 874 1140 1149 1311 1380 1532 1748 1915 2185 2298 2622 3830 4370 4596 5244 5745 6555 7277 7660 8740 8809 11490 13110 14554 17618 21831 22980 26220 26427 29108 35236 36385 43662 44045 52854 72770 87324 88090 105708 109155 132135 145540 167371 176180 218310 264270 334742 436620 502113 528540 669484 836855 1004226 1673710 2008452 2510565 3347420 5021130 10042260