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425379120 = 24353535021
BaseRepresentation
bin11001010110101…
…100010100110000
31002122102111110020
4121112230110300
51332344112440
6110113203440
713353443235
oct3126542460
91078374406
10425379120
111a912a6a1
12ba560580
136a18922a
14406cd78c
15275283d0
hex195ac530

425379120 has 80 divisors (see below), whose sum is σ = 1322674272. Its totient is φ = 113090560.

The previous prime is 425379107. The next prime is 425379127. The reversal of 425379120 is 21973524.

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

It is not an unprimeable number, because it can be changed into a prime (425379127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82210 + ... + 87230.

Almost surely, 2425379120 is an apocalyptic number.

425379120 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 425379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661337136).

425379120 is an abundant number, since it is smaller than the sum of its proper divisors (897295152).

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

425379120 is a wasteful number, since it uses less digits than its factorization.

425379120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 425379120 is about 20624.7210890232. The cubic root of 425379120 is about 752.0707927167.

The spelling of 425379120 in words is "four hundred twenty-five million, three hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 353 706 1059 1412 1765 2118 2824 3530 4236 5021 5295 5648 7060 8472 10042 10590 14120 15063 16944 20084 21180 25105 28240 30126 40168 42360 50210 60252 75315 80336 84720 100420 120504 150630 200840 241008 301260 401680 602520 1205040 1772413 3544826 5317239 7089652 8862065 10634478 14179304 17724130 21268956 26586195 28358608 35448260 42537912 53172390 70896520 85075824 106344780 141793040 212689560 425379120