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122673140 = 2256133657
BaseRepresentation
bin1110100111111…
…01011111110100
322112211102220122
413103331133310
5222401020030
620101151112
73016463432
oct723753764
9275742818
10122673140
1163278167
12350bb498
131c551875
1412413d52
15ab828e5
hex74fd7f4

122673140 has 12 divisors (see below), whose sum is σ = 257613636. Its totient is φ = 49069248.

The previous prime is 122673137. The next prime is 122673143. The reversal of 122673140 is 41376221.

It is an interprime number because it is at equal distance from previous prime (122673137) and next prime (122673143).

It can be written as a sum of positive squares in 2 ways, for example, as 54346384 + 68326756 = 7372^2 + 8266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122673143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3066809 + ... + 3066848.

It is an arithmetic number, because the mean of its divisors is an integer number (21467803).

Almost surely, 2122673140 is an apocalyptic number.

122673140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122673140 is an abundant number, since it is smaller than the sum of its proper divisors (134940496).

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

122673140 is a wasteful number, since it uses less digits than its factorization.

122673140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133666 (or 6133664 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 122673140 is about 11075.7907166938. The cubic root of 122673140 is about 496.8780676472.

The spelling of 122673140 in words is "one hundred twenty-two million, six hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 6133657 12267314 24534628 30668285 61336570 122673140