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122839480 = 23512724181
BaseRepresentation
bin1110101001001…
…10000110111000
322120010220002101
413110212012320
5222421330410
620104513144
73021055411
oct724460670
9276126071
10122839480
1163381135
123517b7b4
131c5ac4aa
1412458808
15abb6d3a
hex75261b8

122839480 has 32 divisors (see below), whose sum is σ = 278576640. Its totient is φ = 48746880.

The previous prime is 122839477. The next prime is 122839489. The reversal of 122839480 is 84938221.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122839489) by changing a digit.

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, 7011 + ... + 17170.

It is an arithmetic number, because the mean of its divisors is an integer number (8705520).

Almost surely, 2122839480 is an apocalyptic number.

122839480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122839480 is an abundant number, since it is smaller than the sum of its proper divisors (155737160).

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

122839480 is a wasteful number, since it uses less digits than its factorization.

122839480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24319 (or 24315 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 122839480 is about 11083.2973433000. The cubic root of 122839480 is about 497.1025486510.

The spelling of 122839480 in words is "one hundred twenty-two million, eight hundred thirty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 1016 1270 2540 5080 24181 48362 96724 120905 193448 241810 483620 967240 3070987 6141974 12283948 15354935 24567896 30709870 61419740 122839480