Search a number
-
+
242103654 = 23413237239
BaseRepresentation
bin11100110111000…
…11010101100110
3121212120010210000
432123203111212
5443434304104
640005042130
75666563362
oct1633432546
9555503700
10242103654
11114730071
12690b6346
133b209500
14242222a2
15163c4639
hexe6e3566

242103654 has 120 divisors (see below), whose sum is σ = 605832480. Its totient is φ = 72176832.

The previous prime is 242103623. The next prime is 242103683. The reversal of 242103654 is 456301242.

242103654 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 0 + 3 + 654 = 666.

It is a super-2 number, since 2×2421036542 = 117228358560303432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1012867 + ... + 1013105.

It is an arithmetic number, because the mean of its divisors is an integer number (5048604).

Almost surely, 2242103654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242103654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302916240).

242103654 is an abundant number, since it is smaller than the sum of its proper divisors (363728826).

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

242103654 is a wasteful number, since it uses less digits than its factorization.

242103654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 242103654 is about 15559.6803951752. The cubic root of 242103654 is about 623.2569279858.

Adding to 242103654 its reverse (456301242), we get a palindrome (698404896).

The spelling of 242103654 in words is "two hundred forty-two million, one hundred three thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 169 222 234 239 333 338 351 478 481 507 666 702 717 962 999 1014 1053 1434 1443 1521 1998 2106 2151 2886 2997 3042 3107 4302 4329 4563 5994 6214 6253 6453 8658 8843 9126 9321 12506 12906 12987 13689 17686 18642 18759 19359 25974 26529 27378 27963 37518 38718 38961 40391 53058 55926 56277 77922 79587 80782 83889 112554 114959 121173 159174 167778 168831 229918 238761 242346 251667 337662 344877 363519 477522 503334 506493 689754 716283 727038 1012986 1034631 1090557 1432566 1494467 2069262 2181114 2988934 3103893 3271671 4483401 6207786 6543342 8966802 9311679 13450203 18623358 26900406 40350609 80701218 121051827 242103654