Search a number
-
+
122740408 = 23717314159
BaseRepresentation
bin1110101000011…
…01111010111000
322112221212012001
413110031322320
5222410143113
620102430344
73020163520
oct724157270
9275855161
10122740408
116331375a
12351323b4
131c57637b
1412430680
15ab977dd
hex750deb8

122740408 has 64 divisors (see below), whose sum is σ = 287539200. Its totient is φ = 47900160.

The previous prime is 122740403. The next prime is 122740417. The reversal of 122740408 is 804047221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122740403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27433 + ... + 31591.

It is an arithmetic number, because the mean of its divisors is an integer number (4492800).

Almost surely, 2122740408 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 122740408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143769600).

122740408 is an abundant number, since it is smaller than the sum of its proper divisors (164798792).

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

122740408 is a wasteful number, since it uses less digits than its factorization.

122740408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 122740408 is about 11078.8270137231. The cubic root of 122740408 is about 496.9688723290.

Adding to 122740408 its reverse (804047221), we get a palindrome (926787629).

The spelling of 122740408 in words is "one hundred twenty-two million, seven hundred forty thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 119 124 136 217 238 248 434 476 527 868 952 1054 1736 2108 3689 4159 4216 7378 8318 14756 16636 29113 29512 33272 58226 70703 116452 128929 141406 232904 257858 282812 494921 515716 565624 902503 989842 1031432 1805006 1979684 2191793 3610012 3959368 4383586 7220024 8767172 15342551 17534344 30685102 61370204 122740408