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122746640 = 2456125153
BaseRepresentation
bin1110101000011…
…11011100010000
322112222011201212
413110033130100
5222410343030
620102515252
73020220632
oct724173420
9275864655
10122746640
1163318405
1235135b28
131c579163
1412432a52
15ab99595
hex750f710

122746640 has 40 divisors (see below), whose sum is σ = 290075928. Its totient is φ = 48291840.

The previous prime is 122746633. The next prime is 122746667. The reversal of 122746640 is 46647221.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 122500624 = 496^2 + 11068^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 122746597 and 122746606.

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, 7697 + ... + 17456.

Almost surely, 2122746640 is an apocalyptic number.

122746640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122746640 is an abundant number, since it is smaller than the sum of its proper divisors (167329288).

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

122746640 is a wasteful number, since it uses less digits than its factorization.

122746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25227 (or 25221 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 122746640 is about 11079.1082673652. The cubic root of 122746640 is about 496.9772831902.

The spelling of 122746640 in words is "one hundred twenty-two million, seven hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 25153 50306 100612 125765 201224 251530 402448 503060 1006120 1534333 2012240 3068666 6137332 7671665 12274664 15343330 24549328 30686660 61373320 122746640