Search a number
-
+
122704440 = 23351139049
BaseRepresentation
bin1110101000001…
…01001000111000
322112220000211220
413110011020320
5222403020230
620101552040
73016653615
oct724051070
9275800756
10122704440
1163299731
1235115620
131c562ba1
141242150c
15ab8bd10
hex7505238

122704440 has 64 divisors (see below), whose sum is σ = 371412000. Its totient is φ = 32428032.

The previous prime is 122704433. The next prime is 122704441. The reversal of 122704440 is 44407221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122704440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122704441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9036 + ... + 18084.

Almost surely, 2122704440 is an apocalyptic number.

122704440 is a gapful number since it is divisible by the number (10) 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 122704440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185706000).

122704440 is an abundant number, since it is smaller than the sum of its proper divisors (248707560).

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

122704440 is a wasteful number, since it uses less digits than its factorization.

122704440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176 (or 9172 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 122704440 is about 11077.2036182423. The cubic root of 122704440 is about 496.9203234634.

The spelling of 122704440 in words is "one hundred twenty-two million, seven hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 9049 13560 18098 27147 36196 45245 54294 72392 90490 108588 135735 180980 217176 271470 361960 542940 1022537 1085880 2045074 3067611 4090148 5112685 6135222 8180296 10225370 12270444 15338055 20450740 24540888 30676110 40901480 61352220 122704440