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425160560 = 24511677211
BaseRepresentation
bin11001010101110…
…110111101110000
31002122000101122102
4121111312331300
51332320114220
6110104355532
713351543106
oct3125667560
91078011572
10425160560
111a8aa0470
12ba475ba8
136a1108c6
1440673c76
15274d3775
hex19576f70

425160560 has 80 divisors (see below), whose sum is σ = 1094608512. Its totient is φ = 152275200.

The previous prime is 425160559. The next prime is 425160601. The reversal of 425160560 is 65061524.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55355 + ... + 62565.

Almost surely, 2425160560 is an apocalyptic number.

425160560 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 425160560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547304256).

425160560 is an abundant number, since it is smaller than the sum of its proper divisors (669447952).

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

425160560 is a wasteful number, since it uses less digits than its factorization.

425160560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 425160560 is about 20619.4219123621. The cubic root of 425160560 is about 751.9419658700.

The spelling of 425160560 in words is "four hundred twenty-five million, one hundred sixty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 335 440 536 670 737 880 1072 1340 1474 2680 2948 3685 5360 5896 7211 7370 11792 14422 14740 28844 29480 36055 57688 58960 72110 79321 115376 144220 158642 288440 317284 396605 483137 576880 634568 793210 966274 1269136 1586420 1932548 2415685 3172840 3865096 4831370 5314507 6345680 7730192 9662740 10629014 19325480 21258028 26572535 38650960 42516056 53145070 85032112 106290140 212580280 425160560