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122839140 = 22356730557
BaseRepresentation
bin1110101001001…
…10000001100100
322120010212121210
413110212001210
5222421323030
620104511420
73021054414
oct724460144
9276125553
10122839140
1163380956
123517b570
131c5ac2a8
1412458644
15abb6bb0
hex7526064

122839140 has 48 divisors (see below), whose sum is σ = 349094592. Its totient is φ = 32267136.

The previous prime is 122839133. The next prime is 122839141. The reversal of 122839140 is 41938221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122839098 and 122839107.

It is not an unprimeable number, because it can be changed into a prime (122839141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11259 + ... + 19298.

It is an arithmetic number, because the mean of its divisors is an integer number (7272804).

Almost surely, 2122839140 is an apocalyptic number.

122839140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122839140 is an abundant number, since it is smaller than the sum of its proper divisors (226255452).

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

122839140 is a wasteful number, since it uses less digits than its factorization.

122839140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30636 (or 30634 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 122839140 is about 11083.2820048937. The cubic root of 122839140 is about 497.1020900172.

The spelling of 122839140 in words is "one hundred twenty-two million, eight hundred thirty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 30557 61114 91671 122228 152785 183342 305570 366684 458355 611140 916710 1833420 2047319 4094638 6141957 8189276 10236595 12283914 20473190 24567828 30709785 40946380 61419570 122839140