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123020424 = 23331015639
BaseRepresentation
bin1110101010100…
…10010010001000
322120111002022000
413111102102020
5222443123144
620112431000
73022441062
oct725222210
9276432260
10123020424
116349507a
1235248460
131c643967
14124a4732
15ac00769
hex7552488

123020424 has 64 divisors (see below), whose sum is σ = 345168000. Its totient is φ = 40593600.

The previous prime is 123020423. The next prime is 123020441. The reversal of 123020424 is 424020321.

It is a super-2 number, since 2×1230204242 = 30268049442279552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123020397 and 123020406.

It is not an unprimeable number, because it can be changed into a prime (123020423) 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, 18997 + ... + 24635.

It is an arithmetic number, because the mean of its divisors is an integer number (5393250).

Almost surely, 2123020424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123020424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172584000).

123020424 is an abundant number, since it is smaller than the sum of its proper divisors (222147576).

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

123020424 is a wasteful number, since it uses less digits than its factorization.

123020424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 123020424 is about 11091.4572532197. The cubic root of 123020424 is about 497.3465082070.

Adding to 123020424 its reverse (424020321), we get a palindrome (547040745).

The spelling of 123020424 in words is "one hundred twenty-three million, twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2424 2727 3636 5454 5639 7272 10908 11278 16917 21816 22556 33834 45112 50751 67668 101502 135336 152253 203004 304506 406008 569539 609012 1139078 1218024 1708617 2278156 3417234 4556312 5125851 6834468 10251702 13668936 15377553 20503404 30755106 41006808 61510212 123020424