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425134560 = 25351038599
BaseRepresentation
bin11001010101110…
…000100111100000
31002121222001222110
4121111300213200
51332313301220
6110104035320
713351404234
oct3125604740
91077861873
10425134560
111a8a82984
12ba462b40
136a101b16
14406685c4
15274cabe0
hex195709e0

425134560 has 96 divisors (see below), whose sum is σ = 1352332800. Its totient is φ = 112255488.

The previous prime is 425134547. The next prime is 425134573. The reversal of 425134560 is 65431524.

It is an interprime number because it is at equal distance from previous prime (425134547) and next prime (425134573).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 45141 + ... + 53739.

It is an arithmetic number, because the mean of its divisors is an integer number (14086800).

Almost surely, 2425134560 is an apocalyptic number.

425134560 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 425134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676166400).

425134560 is an abundant number, since it is smaller than the sum of its proper divisors (927198240).

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

425134560 is a wasteful number, since it uses less digits than its factorization.

425134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720 (or 8712 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 425134560 is about 20618.7914291794. The cubic root of 425134560 is about 751.9266376297.

The spelling of 425134560 in words is "four hundred twenty-five million, one hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 8599 9888 12360 16480 17198 24720 25797 34396 42995 49440 51594 68792 85990 103188 128985 137584 171980 206376 257970 275168 343960 412752 515940 687920 825504 885697 1031880 1375840 1771394 2063760 2657091 3542788 4127520 4428485 5314182 7085576 8856970 10628364 13285455 14171152 17713940 21256728 26570910 28342304 35427880 42513456 53141820 70855760 85026912 106283640 141711520 212567280 425134560