Search a number
-
+
123073692 = 22372375657
BaseRepresentation
bin1110101010111…
…11010010011100
322120120210100220
413111133102130
5223001324232
620113521340
73023052300
oct725372234
9276523326
10123073692
11635210a5
1235273250
131c661c91
14124b9d00
15ac1142c
hex755f49c

123073692 has 72 divisors (see below), whose sum is σ = 343146384. Its totient is φ = 34207488.

The previous prime is 123073669. The next prime is 123073721. The reversal of 123073692 is 296370321.

It is a happy number.

It is a congruent number.

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, 18928 + ... + 24584.

It is an arithmetic number, because the mean of its divisors is an integer number (4765922).

Almost surely, 2123073692 is an apocalyptic number.

123073692 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 123073692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171573192).

123073692 is an abundant number, since it is smaller than the sum of its proper divisors (220072692).

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

123073692 is a wasteful number, since it uses less digits than its factorization.

123073692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 123073692 is about 11093.8583008798. The cubic root of 123073692 is about 497.4182817388.

The spelling of 123073692 in words is "one hundred twenty-three million, seventy-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1554 1813 3108 3626 5439 5657 7252 10878 11314 16971 21756 22628 33942 39599 67884 79198 118797 158396 209309 237594 277193 418618 475188 554386 627927 831579 837236 1108772 1255854 1465163 1663158 2511708 2930326 3326316 4395489 5860652 8790978 10256141 17581956 20512282 30768423 41024564 61536846 123073692