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123253020 = 223251125659
BaseRepresentation
bin1110101100010…
…11000100011100
322120220220100200
413112023010130
5223023044040
620121423500
73024430152
oct726130434
9276826320
10123253020
1163633900
123533ab90
131c6c57a7
14125253d2
15ac49630
hex758b11c

123253020 has 108 divisors (see below), whose sum is σ = 411017880. Its totient is φ = 29874240.

The previous prime is 123253003. The next prime is 123253033. The reversal of 123253020 is 20352321.

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 = 123252984 and 123253002.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 18951 + ... + 24609.

Almost surely, 2123253020 is an apocalyptic number.

123253020 is a gapful number since it is divisible by the number (10) 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 123253020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205508940).

123253020 is an abundant number, since it is smaller than the sum of its proper divisors (287764860).

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

123253020 is a wasteful number, since it uses less digits than its factorization.

123253020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 123253020 is about 11101.9376687135. The cubic root of 123253020 is about 497.6597569474.

The spelling of 123253020 in words is "one hundred twenty-three million, two hundred fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 5659 7260 10890 11318 16977 21780 22636 28295 33954 50931 56590 62249 67908 84885 101862 113180 124498 169770 186747 203724 248996 254655 311245 339540 373494 509310 560241 622490 684739 746988 933735 1018620 1120482 1244980 1369478 1867470 2054217 2240964 2738956 2801205 3423695 3734940 4108434 5602410 6162651 6847390 8216868 10271085 11204820 12325302 13694780 20542170 24650604 30813255 41084340 61626510 123253020