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120315420 = 22325798461
BaseRepresentation
bin1110010101111…
…01111000011100
322101101122201200
413022331320130
5221300043140
615534435500
72660443551
oct712757034
9271348650
10120315420
1161a07835
1234362b90
131bc07674
1411d9ca28
15a869030
hex72bde1c

120315420 has 72 divisors (see below), whose sum is σ = 369620160. Its totient is φ = 31674240.

The previous prime is 120315397. The next prime is 120315439. The reversal of 120315420 is 24513021.

120315420 is a `hidden beast` number, since 120 + 3 + 1 + 542 + 0 = 666.

120315420 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

120315420 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 120315393 and 120315402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9990 + ... + 18450.

Almost surely, 2120315420 is an apocalyptic number.

120315420 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 120315420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184810080).

120315420 is an abundant number, since it is smaller than the sum of its proper divisors (249304740).

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

120315420 is a wasteful number, since it uses less digits than its factorization.

120315420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8555 (or 8550 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120315420 is about 10968.8385893858. The cubic root of 120315420 is about 493.6741993341.

Adding to 120315420 its reverse (24513021), we get a palindrome (144828441).

The spelling of 120315420 in words is "one hundred twenty million, three hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 7110 8461 14220 16922 25383 33844 42305 50766 76149 84610 101532 126915 152298 169220 253830 304596 380745 507660 668419 761490 1336838 1522980 2005257 2673676 3342095 4010514 6015771 6684190 8021028 10026285 12031542 13368380 20052570 24063084 30078855 40105140 60157710 120315420