Search a number
-
+
13734798 = 23721131137
BaseRepresentation
bin110100011001…
…001110001110
3221211210121020
4310121032032
512004003143
61210215010
7224513100
oct64311616
927753536
1013734798
117831180
124724466
132acb7cc
141b77570
151314883
hexd1938e

13734798 has 96 divisors (see below), whose sum is σ = 36246528. Its totient is φ = 3427200.

The previous prime is 13734797. The next prime is 13734803. The reversal of 13734798 is 89743731.

13734798 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137347982 = 377289352201608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13734797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100186 + ... + 100322.

It is an arithmetic number, because the mean of its divisors is an integer number (377568).

Almost surely, 213734798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13734798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123264).

13734798 is an abundant number, since it is smaller than the sum of its proper divisors (22511730).

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

13734798 is a wasteful number, since it uses less digits than its factorization.

13734798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 13734798 is about 3706.0488393976. The cubic root of 13734798 is about 239.4826703988.

The spelling of 13734798 in words is "thirteen million, seven hundred thirty-four thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 49 62 66 77 93 98 137 147 154 186 217 231 274 294 341 411 434 462 539 651 682 822 959 1023 1078 1302 1507 1519 1617 1918 2046 2387 2877 3014 3038 3234 4247 4521 4557 4774 5754 6713 7161 8494 9042 9114 10549 12741 13426 14322 16709 20139 21098 25482 29729 31647 33418 40278 46717 50127 59458 63294 73843 89187 93434 100254 140151 147686 178374 208103 221529 280302 327019 416206 443058 624309 654038 981057 1248618 1962114 2289133 4578266 6867399 13734798