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20260968360 = 23354113730059
BaseRepresentation
bin10010110111101001…
…011101011110101000
31221022000120211112120
4102313221131132220
5312443301441420
613150250511240
71315041250413
oct226751353650
957260524476
1020260968360
118657874456
123b15435520
131bab78a899
14da2c18b7a
157d8b19d40
hex4b7a5d7a8

20260968360 has 128 divisors (see below), whose sum is σ = 62721993600. Its totient is φ = 5232496640.

The previous prime is 20260968353. The next prime is 20260968367. The reversal of 20260968360 is 6386906202.

It is an interprime number because it is at equal distance from previous prime (20260968353) and next prime (20260968367).

It is not an unprimeable number, because it can be changed into a prime (20260968367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659011 + ... + 689069.

It is an arithmetic number, because the mean of its divisors is an integer number (490015575).

Almost surely, 220260968360 is an apocalyptic number.

20260968360 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 20260968360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31360996800).

20260968360 is an abundant number, since it is smaller than the sum of its proper divisors (42461025240).

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

20260968360 is a wasteful number, since it uses less digits than its factorization.

20260968360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30251 (or 30247 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 20260968360 in words is "twenty billion, two hundred sixty million, nine hundred sixty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 137 164 205 246 274 328 410 411 492 548 615 685 820 822 984 1096 1230 1370 1640 1644 2055 2460 2740 3288 4110 4920 5480 5617 8220 11234 16440 16851 22468 28085 30059 33702 44936 56170 60118 67404 84255 90177 112340 120236 134808 150295 168510 180354 224680 240472 300590 337020 360708 450885 601180 674040 721416 901770 1202360 1232419 1803540 2464838 3607080 3697257 4118083 4929676 6162095 7394514 8236166 9859352 12324190 12354249 14789028 16472332 18486285 20590415 24648380 24708498 29578056 32944664 36972570 41180830 49296760 49416996 61771245 73945140 82361660 98833992 123542490 147890280 164723320 168841403 247084980 337682806 494169960 506524209 675365612 844207015 1013048418 1350731224 1688414030 2026096836 2532621045 3376828060 4052193672 5065242090 6753656120 10130484180 20260968360