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122442040 = 2357437293
BaseRepresentation
bin1110100110001…
…01000100111000
322112101200220101
413103011010320
5222321121130
620052205144
73014511610
oct723050470
9275350811
10122442040
116312a576
12350097b4
131c4a0616
1412393a40
15ab391ca
hex74c5138

122442040 has 32 divisors (see below), whose sum is σ = 314851680. Its totient is φ = 41980032.

The previous prime is 122442037. The next prime is 122442053. The reversal of 122442040 is 40244221.

It is a junction number, because it is equal to n+sod(n) for n = 122441999 and 122442017.

It is a congruent number.

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, 218367 + ... + 218926.

It is an arithmetic number, because the mean of its divisors is an integer number (9839115).

Almost surely, 2122442040 is an apocalyptic number.

122442040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122442040 is an abundant number, since it is smaller than the sum of its proper divisors (192409640).

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

122442040 is a wasteful number, since it uses less digits than its factorization.

122442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437311 (or 437307 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 122442040 is about 11065.3531348981. The cubic root of 122442040 is about 496.5658539486.

Adding to 122442040 its reverse (40244221), we get a palindrome (162686261).

It can be divided in two parts, 1224 and 42040, that added together give a square (43264 = 2082).

The spelling of 122442040 in words is "one hundred twenty-two million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 437293 874586 1749172 2186465 3061051 3498344 4372930 6122102 8745860 12244204 15305255 17491720 24488408 30610510 61221020 122442040