Search a number
-
+
122607240 = 23357227643
BaseRepresentation
bin1110100111011…
…01011010001000
322112201002111220
413103231122020
5222341412430
620055522040
73016100340
oct723553210
9275632456
10122607240
11632326a8
1235089320
131c52a882
14123d7d20
15ab6d110
hex74ed688

122607240 has 128 divisors (see below), whose sum is σ = 422876160. Its totient is φ = 27857664.

The previous prime is 122607217. The next prime is 122607257. The reversal of 122607240 is 42706221.

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 122607240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190359 + ... + 191001.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 2122607240 is an apocalyptic number.

122607240 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 122607240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211438080).

122607240 is an abundant number, since it is smaller than the sum of its proper divisors (300268920).

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

122607240 is a wasteful number, since it uses less digits than its factorization.

122607240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 122607240 is about 11072.8153601512. The cubic root of 122607240 is about 496.7890774254.

The spelling of 122607240 in words is "one hundred twenty-two million, six hundred seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 227 280 420 454 643 681 840 908 1135 1286 1362 1589 1816 1929 2270 2572 2724 3178 3215 3405 3858 4501 4540 4767 5144 5448 6356 6430 6810 7716 7945 9002 9080 9534 9645 12712 12860 13503 13620 15432 15890 18004 19068 19290 22505 23835 25720 27006 27240 31780 36008 38136 38580 45010 47670 54012 63560 67515 77160 90020 95340 108024 135030 145961 180040 190680 270060 291922 437883 540120 583844 729805 875766 1021727 1167688 1459610 1751532 2043454 2189415 2919220 3065181 3503064 4086908 4378830 5108635 5838440 6130362 8173816 8757660 10217270 12260724 15325905 17515320 20434540 24521448 30651810 40869080 61303620 122607240