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120423120 = 2435677489
BaseRepresentation
bin1110010110110…
…00001011010000
322101121010110120
413023120023100
5221312014440
615541030240
72661402546
oct713301320
9271533416
10120423120
1161a80744
12343b5380
131bc446ac
1411dc9d96
15a88add0
hex72d82d0

120423120 has 80 divisors (see below), whose sum is σ = 378934080. Its totient is φ = 31629312.

The previous prime is 120423113. The next prime is 120423133. The reversal of 120423120 is 21324021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120423120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12336 + ... + 19824.

It is an arithmetic number, because the mean of its divisors is an integer number (4736676).

Almost surely, 2120423120 is an apocalyptic number.

120423120 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 120423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189467040).

120423120 is an abundant number, since it is smaller than the sum of its proper divisors (258510960).

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

120423120 is a wasteful number, since it uses less digits than its factorization.

120423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120423120 is about 10973.7468532858. The cubic root of 120423120 is about 493.8214590801.

120423120 divided by its sum of digits (15) gives a palindrome (8028208).

Adding to 120423120 its reverse (21324021), we get a palindrome (141747141).

Subtracting from 120423120 its reverse (21324021), we obtain a palindrome (99099099).

The spelling of 120423120 in words is "one hundred twenty million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 7489 8040 14978 16080 22467 29956 37445 44934 59912 74890 89868 112335 119824 149780 179736 224670 299560 359472 449340 501763 599120 898680 1003526 1505289 1797360 2007052 2508815 3010578 4014104 5017630 6021156 7526445 8028208 10035260 12042312 15052890 20070520 24084624 30105780 40141040 60211560 120423120