[go: up one dir, main page]

Search a number
-
+
123049044 = 22343112251
BaseRepresentation
bin1110101010110…
…01010001010100
322120112112120000
413111121101110
5223000032134
620113211300
73022620366
oct725312124
9276475500
10123049044
1163504628
1235260b30
131c6539b1
14124b0d36
15ac08e99
hex7559454

123049044 has 60 divisors (see below), whose sum is σ = 332078208. Its totient is φ = 39690000.

The previous prime is 123049039. The next prime is 123049079. The reversal of 123049044 is 440940321.

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

It is a junction number, because it is equal to n+sod(n) for n = 123048999 and 123049017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3919 + ... + 16169.

Almost surely, 2123049044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123049044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166039104).

123049044 is an abundant number, since it is smaller than the sum of its proper divisors (209029164).

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

123049044 is a wasteful number, since it uses less digits than its factorization.

123049044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12298 (or 12287 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 123049044 is about 11092.7473603251. The cubic root of 123049044 is about 497.3850734927.

Adding to 123049044 its reverse (440940321), we get a palindrome (563989365).

The spelling of 123049044 in words is "one hundred twenty-three million, forty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3348 5022 10044 12251 24502 36753 49004 73506 110259 147012 220518 330777 379781 441036 661554 759562 992331 1139343 1323108 1519124 1984662 2278686 3418029 3969324 4557372 6836058 10254087 13672116 20508174 30762261 41016348 61524522 123049044