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123383720 = 23519315237
BaseRepresentation
bin1110101101010…
…10111110101000
322121011112122102
413112222332220
5223041234340
620124312532
73025513205
oct726527650
9277145572
10123383720
1163713019
12353a2748
131c740125
141255acac
15ac73215
hex75aafa8

123383720 has 64 divisors (see below), whose sum is σ = 301708800. Its totient is φ = 45239040.

The previous prime is 123383717. The next prime is 123383723. The reversal of 123383720 is 27383321.

It is an interprime number because it is at equal distance from previous prime (123383717) and next prime (123383723).

It is a super-2 number, since 2×1233837202 = 30447084722076800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123383723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20942 + ... + 26178.

It is an arithmetic number, because the mean of its divisors is an integer number (4714200).

Almost surely, 2123383720 is an apocalyptic number.

123383720 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 123383720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150854400).

123383720 is an abundant number, since it is smaller than the sum of its proper divisors (178325080).

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

123383720 is a wasteful number, since it uses less digits than its factorization.

123383720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 123383720 is about 11107.8224688730. The cubic root of 123383720 is about 497.8356043017.

The spelling of 123383720 in words is "one hundred twenty-three million, three hundred eighty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 2356 2945 4712 5237 5890 10474 11780 20948 23560 26185 41896 52370 99503 104740 162347 199006 209480 324694 398012 497515 649388 796024 811735 995030 1298776 1623470 1990060 3084593 3246940 3980120 6169186 6493880 12338372 15422965 24676744 30845930 61691860 123383720