Search a number
-
+
10734192 = 2432723463
BaseRepresentation
bin101000111100…
…101001110000
3202012100112200
4220330221300
510221443232
61022023200
7160145010
oct50745160
922170480
1010734192
116071837
123717b00
1322baac1
1415d5c40
15e2077c
hexa3ca70

10734192 has 120 divisors (see below), whose sum is σ = 35902464. Its totient is φ = 2927232.

The previous prime is 10734187. The next prime is 10734197. The reversal of 10734192 is 29143701.

It is an interprime number because it is at equal distance from previous prime (10734187) and next prime (10734197).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10734197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22953 + ... + 23415.

It is a vampire number, since it can be written as 11049723 (with its own digits).

Almost surely, 210734192 is an apocalyptic number.

10734192 is a gapful number since it is divisible by the number (12) 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 10734192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17951232).

10734192 is an abundant number, since it is smaller than the sum of its proper divisors (25168272).

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

10734192 is a wasteful number, since it uses less digits than its factorization.

10734192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10734192 is about 3276.3076778593. The cubic root of 10734192 is about 220.5920142913.

Adding to 10734192 its reverse (29143701), we get a palindrome (39877893).

The spelling of 10734192 in words is "ten million, seven hundred thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 463 483 504 552 644 828 926 966 1008 1104 1288 1389 1449 1656 1852 1932 2576 2778 2898 3241 3312 3704 3864 4167 5556 5796 6482 7408 7728 8334 9723 10649 11112 11592 12964 16668 19446 21298 22224 23184 25928 29169 31947 33336 38892 42596 51856 58338 63894 66672 74543 77784 85192 95841 116676 127788 149086 155568 170384 191682 223629 233352 255576 298172 383364 447258 466704 511152 596344 670887 766728 894516 1192688 1341774 1533456 1789032 2683548 3578064 5367096 10734192