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20265960 = 233511131181
BaseRepresentation
bin100110101001…
…1101111101000
31102010121200010
41031103233220
520142002320
62002211520
7334154301
oct115235750
942117603
1020265960
1110492130
126953ba0
1342774c0
1429977a8
151ba4ae0
hex1353be8

20265960 has 128 divisors (see below), whose sum is σ = 71487360. Its totient is φ = 4531200.

The previous prime is 20265941. The next prime is 20265997. The reversal of 20265960 is 6956202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16570 + ... + 17750.

It is an arithmetic number, because the mean of its divisors is an integer number (558495).

Almost surely, 220265960 is an apocalyptic number.

20265960 is a gapful number since it is divisible by the number (20) 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 20265960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35743680).

20265960 is an abundant number, since it is smaller than the sum of its proper divisors (51221400).

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

20265960 is a wasteful number, since it uses less digits than its factorization.

20265960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 20265960 is about 4501.7729840586. The cubic root of 20265960 is about 272.6396781320.

The spelling of 20265960 in words is "twenty million, two hundred sixty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1181 1320 1430 1560 1716 2145 2362 2860 3432 3543 4290 4724 5720 5905 7086 8580 9448 11810 12991 14172 15353 17160 17715 23620 25982 28344 30706 35430 38973 46059 47240 51964 61412 64955 70860 76765 77946 92118 103928 122824 129910 141720 153530 155892 168883 184236 194865 230295 259820 307060 311784 337766 368472 389730 460590 506649 519640 614120 675532 779460 844415 921180 1013298 1351064 1558920 1688830 1842360 2026596 2533245 3377660 4053192 5066490 6755320 10132980 20265960