Search a number
-
+
123351696 = 243213131503
BaseRepresentation
bin1110101101000…
…11001010010000
322121002220201100
413112203022100
5223034223241
620123504400
73025320636
oct726431220
9277086640
10123351696
11636a0a56
1235388100
131c72b690
141254d356
15ac689b6
hex75a3290

123351696 has 120 divisors (see below), whose sum is σ = 375350976. Its totient is φ = 37589760.

The previous prime is 123351659. The next prime is 123351707. The reversal of 123351696 is 696153321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 123351696.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244981 + ... + 245483.

Almost surely, 2123351696 is an apocalyptic number.

123351696 is a gapful number since it is divisible by the number (16) 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 123351696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488).

123351696 is an abundant number, since it is smaller than the sum of its proper divisors (251999280).

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

123351696 is a wasteful number, since it uses less digits than its factorization.

123351696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 123351696 is about 11106.3808686718. The cubic root of 123351696 is about 497.7925298266.

The spelling of 123351696 in words is "one hundred twenty-three million, three hundred fifty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 131 144 156 208 234 262 312 393 468 503 524 624 786 936 1006 1048 1179 1509 1572 1703 1872 2012 2096 2358 3018 3144 3406 4024 4527 4716 5109 6036 6288 6539 6812 8048 9054 9432 10218 12072 13078 13624 15327 18108 18864 19617 20436 24144 26156 27248 30654 36216 39234 40872 52312 58851 61308 65893 72432 78468 81744 104624 117702 122616 131786 156936 197679 235404 245232 263572 313872 395358 470808 527144 593037 790716 856609 941616 1054288 1186074 1581432 1713218 2372148 2569827 3162864 3426436 4744296 5139654 6852872 7709481 9488592 10279308 13705744 15418962 20558616 30837924 41117232 61675848 123351696