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122054440 = 23531257383
BaseRepresentation
bin1110100011001…
…10011100101000
322111200000012211
413101212130220
5222221220230
620040014504
73011305564
oct721463450
9274600184
10122054440
1162995342
1234a61434
131c396081
14122d26a4
15aaae42a
hex7466728

122054440 has 64 divisors (see below), whose sum is σ = 285327360. Its totient is φ = 46940160.

The previous prime is 122054419. The next prime is 122054477. The reversal of 122054440 is 44450221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318489 + ... + 318871.

It is an arithmetic number, because the mean of its divisors is an integer number (4458240).

Almost surely, 2122054440 is an apocalyptic number.

122054440 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 122054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142663680).

122054440 is an abundant number, since it is smaller than the sum of its proper divisors (163272920).

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

122054440 is a wasteful number, since it uses less digits than its factorization.

122054440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 122054440 is about 11047.8251253358. The cubic root of 122054440 is about 496.0413272016.

The spelling of 122054440 in words is "one hundred twenty-two million, fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 257 310 383 514 620 766 1028 1240 1285 1532 1915 2056 2570 3064 3830 5140 7660 7967 10280 11873 15320 15934 23746 31868 39835 47492 59365 63736 79670 94984 98431 118730 159340 196862 237460 318680 393724 474920 492155 787448 984310 1968620 3051361 3937240 6102722 12205444 15256805 24410888 30513610 61027220 122054440