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122420640 = 2535255043
BaseRepresentation
bin1110100101111…
…11110110100000
322112100121112210
413102333312200
5222314430030
620051522120
73014362326
oct722776640
9275317483
10122420640
1163115491
1234bb9340
131c493964
1412389d16
15ab32bb0
hex74bfda0

122420640 has 48 divisors (see below), whose sum is σ = 385626528. Its totient is φ = 32645376.

The previous prime is 122420609. The next prime is 122420659. The reversal of 122420640 is 46024221.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127042 + ... + 128001.

It is an arithmetic number, because the mean of its divisors is an integer number (8033886).

Almost surely, 2122420640 is an apocalyptic number.

122420640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122420640 is an abundant number, since it is smaller than the sum of its proper divisors (263205888).

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

122420640 is a wasteful number, since it uses less digits than its factorization.

122420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255061 (or 255053 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 122420640 is about 11064.3861103994. The cubic root of 122420640 is about 496.5369229038.

Adding to 122420640 its reverse (46024221), we get a palindrome (168444861).

The spelling of 122420640 in words is "one hundred twenty-two million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 255043 510086 765129 1020172 1275215 1530258 2040344 2550430 3060516 3825645 4080688 5100860 6121032 7651290 8161376 10201720 12242064 15302580 20403440 24484128 30605160 40806880 61210320 122420640