Search a number
-
+
425351120 = 245291391319
BaseRepresentation
bin11001010110100…
…101011111010000
31002122101002001012
4121112211133100
51332342213440
6110112430052
713353265505
oct3126453720
91078332035
10425351120
111a9110657
12ba548328
136a17956c
14406c34ac
152751ee65
hex195a57d0

425351120 has 80 divisors (see below), whose sum is σ = 1031184000. Its totient is φ = 162968064.

The previous prime is 425351117. The next prime is 425351137. The reversal of 425351120 is 21153524.

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

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, 321821 + ... + 323139.

It is an arithmetic number, because the mean of its divisors is an integer number (12889800).

Almost surely, 2425351120 is an apocalyptic number.

425351120 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 425351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592000).

425351120 is an abundant number, since it is smaller than the sum of its proper divisors (605832880).

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

425351120 is a wasteful number, since it uses less digits than its factorization.

425351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 425351120 is about 20624.0422807945. The cubic root of 425351120 is about 752.0542910102.

The spelling of 425351120 in words is "four hundred twenty-five million, three hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 139 145 232 278 290 464 556 580 695 1112 1160 1319 1390 2224 2320 2638 2780 4031 5276 5560 6595 8062 10552 11120 13190 16124 20155 21104 26380 32248 38251 40310 52760 64496 76502 80620 105520 153004 161240 183341 191255 306008 322480 366682 382510 612016 733364 765020 916705 1466728 1530040 1833410 2933456 3060080 3666820 5316889 7333640 10633778 14667280 21267556 26584445 42535112 53168890 85070224 106337780 212675560 425351120