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122747472 = 24323172689
BaseRepresentation
bin1110101000011…
…11101001010000
322112222012212200
413110033221100
5222410404342
620102523200
73020223231
oct724175120
9275865780
10122747472
1163318aa1
1235136500
131c579653
1412433088
15ab9994c
hex750fa50

122747472 has 60 divisors (see below), whose sum is σ = 344734260. Its totient is φ = 40771584.

The previous prime is 122747461. The next prime is 122747477. The reversal of 122747472 is 274747221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5588496 + 117158976 = 2364^2 + 10824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122747477) 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 11 ways as a sum of consecutive naturals, for example, 44304 + ... + 46992.

It is an arithmetic number, because the mean of its divisors is an integer number (5745571).

Almost surely, 2122747472 is an apocalyptic number.

122747472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122747472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172367130).

122747472 is an abundant number, since it is smaller than the sum of its proper divisors (221986788).

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

122747472 is a wasteful number, since it uses less digits than its factorization.

122747472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3011 counting only the distinct ones).

The product of its digits is 43904, while the sum is 36.

The square root of 122747472 is about 11079.1458154499. The cubic root of 122747472 is about 496.9784060564.

The spelling of 122747472 in words is "one hundred twenty-two million, seven hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 317 634 951 1268 1902 2536 2689 2853 3804 5072 5378 5706 7608 8067 10756 11412 15216 16134 21512 22824 24201 32268 43024 45648 48402 64536 96804 129072 193608 387216 852413 1704826 2557239 3409652 5114478 6819304 7671717 10228956 13638608 15343434 20457912 30686868 40915824 61373736 122747472