Search a number
-
+
123020432 = 2417479623
BaseRepresentation
bin1110101010100…
…10010010010000
322120111002022022
413111102102100
5222443123212
620112431012
73022441103
oct725222220
9276432268
10123020432
1163495087
1235248468
131c643972
14124a473a
15ac00772
hex7552490

123020432 has 40 divisors (see below), whose sum is σ = 257769216. Its totient is φ = 56654336.

The previous prime is 123020423. The next prime is 123020441. The reversal of 123020432 is 234020321.

It is an interprime number because it is at equal distance from previous prime (123020423) and next prime (123020441).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 123020432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7973 + ... + 17595.

Almost surely, 2123020432 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 123020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128884608).

123020432 is an abundant number, since it is smaller than the sum of its proper divisors (134748784).

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

123020432 is a wasteful number, since it uses less digits than its factorization.

123020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9695 (or 9689 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 123020432 is about 11091.4576138576. The cubic root of 123020432 is about 497.3465189878.

Adding to 123020432 its reverse (234020321), we get a palindrome (357040753).

The spelling of 123020432 in words is "one hundred twenty-three million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 376 752 799 1598 3196 6392 9623 12784 19246 38492 76984 153968 163591 327182 452281 654364 904562 1308728 1809124 2617456 3618248 7236496 7688777 15377554 30755108 61510216 123020432