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122014640 = 24511612273
BaseRepresentation
bin1110100010111…
…00101110110000
322111120222121202
413101130232300
5222213432030
620035110332
73011051546
oct721345660
9274528552
10122014640
1162968450
1234a423a8
131c380c17
14122c1d96
15aaa2745
hex745cbb0

122014640 has 80 divisors (see below), whose sum is σ = 314685216. Its totient is φ = 43622400.

The previous prime is 122014621. The next prime is 122014643. The reversal of 122014640 is 46410221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (122014643) 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, 52544 + ... + 54816.

Almost surely, 2122014640 is an apocalyptic number.

122014640 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 122014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157342608).

122014640 is an abundant number, since it is smaller than the sum of its proper divisors (192670576).

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

122014640 is a wasteful number, since it uses less digits than its factorization.

122014640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 122014640 is about 11046.0237189678. The cubic root of 122014640 is about 495.9874042934.

Adding to 122014640 its reverse (46410221), we get a palindrome (168424861).

The spelling of 122014640 in words is "one hundred twenty-two million, fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 440 488 610 671 880 976 1220 1342 2273 2440 2684 3355 4546 4880 5368 6710 9092 10736 11365 13420 18184 22730 25003 26840 36368 45460 50006 53680 90920 100012 125015 138653 181840 200024 250030 277306 400048 500060 554612 693265 1000120 1109224 1386530 1525183 2000240 2218448 2773060 3050366 5546120 6100732 7625915 11092240 12201464 15251830 24402928 30503660 61007320 122014640