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122055440 = 24513117361
BaseRepresentation
bin1110100011001…
…10101100010000
322111200001120212
413101212230100
5222221233230
620040023252
73011311523
oct721465420
9274601525
10122055440
1162996071
1234a61b28
131c396670
14122d2bba
15aaae895
hex7466b10

122055440 has 40 divisors (see below), whose sum is σ = 305610648. Its totient is φ = 45066240.

The previous prime is 122055433. The next prime is 122055443. The reversal of 122055440 is 44550221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 121793296 = 512^2 + 11036^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (122055443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57641 + ... + 59720.

Almost surely, 2122055440 is an apocalyptic number.

122055440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122055440 is an abundant number, since it is smaller than the sum of its proper divisors (183555208).

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

122055440 is a wasteful number, since it uses less digits than its factorization.

122055440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117387 (or 117381 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 122055440 is about 11047.8703830195. The cubic root of 122055440 is about 496.0426818976.

The spelling of 122055440 in words is "one hundred twenty-two million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 117361 234722 469444 586805 938888 1173610 1525693 1877776 2347220 3051386 4694440 6102772 7628465 9388880 12205544 15256930 24411088 30513860 61027720 122055440