Search a number
-
+
122378640 = 2435509911
BaseRepresentation
bin1110100101101…
…01100110010000
322112021110221020
413102311212100
5222312104030
620050555440
73014126016
oct722654620
9275243836
10122378640
116309697a
1234b98b80
131c47a7c7
14123788b6
15ab25510
hex74b5990

122378640 has 40 divisors (see below), whose sum is σ = 379374528. Its totient is φ = 32634240.

The previous prime is 122378629. The next prime is 122378657. The reversal of 122378640 is 46873221.

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

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 7 ways as a sum of consecutive naturals, for example, 254716 + ... + 255195.

Almost surely, 2122378640 is an apocalyptic number.

122378640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122378640 is an abundant number, since it is smaller than the sum of its proper divisors (256995888).

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

122378640 is a wasteful number, since it uses less digits than its factorization.

122378640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509927 (or 509921 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 122378640 is about 11062.4879660951. The cubic root of 122378640 is about 496.4801325452.

The spelling of 122378640 in words is "one hundred twenty-two million, three hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 509911 1019822 1529733 2039644 2549555 3059466 4079288 5099110 6118932 7648665 8158576 10198220 12237864 15297330 20396440 24475728 30594660 40792880 61189320 122378640