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123442020 = 223251371743
BaseRepresentation
bin1110101101110…
…01001101100100
322121021111121200
413112321031210
5223100121040
620125442500
73026145162
oct726711544
9277244550
10123442020
11637528a9
1235410430
131c760820
1412574232
15ac85630
hex75b9364

123442020 has 144 divisors (see below), whose sum is σ = 409473792. Its totient is φ = 29917440.

The previous prime is 123442013. The next prime is 123442043. The reversal of 123442020 is 20244321.

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 = 123441984 and 123442002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165769 + ... + 166511.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2123442020 is an apocalyptic number.

123442020 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 123442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

123442020 is an abundant number, since it is smaller than the sum of its proper divisors (286031772).

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

123442020 is a wasteful number, since it uses less digits than its factorization.

123442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 837 counting only the distinct ones).

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

The square root of 123442020 is about 11110.4464356749. The cubic root of 123442020 is about 497.9140026662.

Adding to 123442020 its reverse (20244321), we get a palindrome (143686341).

The spelling of 123442020 in words is "one hundred twenty-three million, four hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 71 78 90 117 130 142 156 180 195 213 234 260 284 355 390 426 468 585 639 710 743 780 852 923 1065 1170 1278 1420 1486 1846 2130 2229 2340 2556 2769 2972 3195 3692 3715 4260 4458 4615 5538 6390 6687 7430 8307 8916 9230 9659 11076 11145 12780 13374 13845 14860 16614 18460 19318 22290 26748 27690 28977 33228 33435 38636 41535 44580 48295 52753 55380 57954 66870 83070 86931 96590 105506 115908 133740 144885 158259 166140 173862 193180 211012 263765 289770 316518 347724 434655 474777 527530 579540 633036 685789 791295 869310 949554 1055060 1371578 1582590 1738620 1899108 2057367 2373885 2743156 3165180 3428945 4114734 4747770 6172101 6857890 8229468 9495540 10286835 12344202 13715780 20573670 24688404 30860505 41147340 61721010 123442020