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423720 = 2332511107
BaseRepresentation
bin1100111011100101000
3210112020100
41213130220
5102024340
613025400
73413223
oct1473450
9715210
10423720
1126a390
12185260
1311ab2b
14b05ba
1585830
hex67728

423720 has 96 divisors (see below), whose sum is σ = 1516320. Its totient is φ = 101760.

The previous prime is 423713. The next prime is 423727. The reversal of 423720 is 27324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (423713) and next prime (423727).

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 = 423693 and 423702.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 423720.

It is not an unprimeable number, because it can be changed into a prime (423727) by changing a digit.

423720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3907 + ... + 4013.

It is an arithmetic number, because the mean of its divisors is an integer number (15795).

2423720 is an apocalyptic number.

423720 is a gapful number since it is divisible by the number (40) 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 423720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758160).

423720 is an abundant number, since it is smaller than the sum of its proper divisors (1092600).

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

423720 is a wasteful number, since it uses less digits than its factorization.

423720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 423720 is about 650.9377850455. The cubic root of 423720 is about 75.1091743357.

The spelling of 423720 in words is "four hundred twenty-three thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 107 110 120 132 165 180 198 214 220 264 321 330 360 396 428 440 495 535 642 660 792 856 963 990 1070 1177 1284 1320 1605 1926 1980 2140 2354 2568 3210 3531 3852 3960 4280 4708 4815 5885 6420 7062 7704 9416 9630 10593 11770 12840 14124 17655 19260 21186 23540 28248 35310 38520 42372 47080 52965 70620 84744 105930 141240 211860 423720