Search a number
-
+
123071004 = 223274710391
BaseRepresentation
bin1110101010111…
…10101000011100
322120120122200100
413111132220130
5223001233004
620113501100
73023041410
oct725365034
9276518610
10123071004
116351a081
1235271790
131c6609a4
14124b8d40
15ac10739
hex755ea1c

123071004 has 72 divisors (see below), whose sum is σ = 363138048. Its totient is φ = 34411680.

The previous prime is 123070993. The next prime is 123071009. The reversal of 123071004 is 400170321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123071009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6649 + ... + 17039.

It is an arithmetic number, because the mean of its divisors is an integer number (5043584).

Almost surely, 2123071004 is an apocalyptic number.

123071004 is a gapful number since it is divisible by the number (14) 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 123071004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181569024).

123071004 is an abundant number, since it is smaller than the sum of its proper divisors (240067044).

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

123071004 is a wasteful number, since it uses less digits than its factorization.

123071004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10455 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 123071004 is about 11093.7371521052. The cubic root of 123071004 is about 497.4146604122.

The spelling of 123071004 in words is "one hundred twenty-three million, seventy-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 10391 11844 20782 31173 41564 62346 72737 93519 124692 145474 187038 218211 290948 374076 436422 488377 654633 872844 976754 1309266 1465131 1953508 2618532 2930262 3418639 4395393 5860524 6837278 8790786 10255917 13674556 17581572 20511834 30767751 41023668 61535502 123071004