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20170455040 = 21153163541
BaseRepresentation
bin10010110010010000…
…001011100000000000
31221001201021021121101
4102302100023200000
5312302114030130
613133254504144
71312562016241
oct226220134000
957051237541
1020170455040
11861077245a
123aab065054
131b95ab90c8
14d94bb6cc8
157d0bdb1ca
hex4b240b800

20170455040 has 96 divisors (see below), whose sum is σ = 49959262080. Its totient is φ = 7807795200.

The previous prime is 20170455029. The next prime is 20170455047. The reversal of 20170455040 is 4055407102.

It is a super-2 number, since 2×201704550402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20170455047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285670 + ... + 349210.

It is an arithmetic number, because the mean of its divisors is an integer number (520408980).

Almost surely, 220170455040 is an apocalyptic number.

20170455040 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 20170455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24979631040).

20170455040 is an abundant number, since it is smaller than the sum of its proper divisors (29788807040).

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

20170455040 is an equidigital number, since it uses as much as digits as its factorization.

20170455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63599 (or 63579 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The spelling of 20170455040 in words is "twenty billion, one hundred seventy million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 992 1024 1240 1280 1984 2048 2480 2560 3968 4960 5120 7936 9920 10240 15872 19840 31744 39680 63488 63541 79360 127082 158720 254164 317440 317705 508328 635410 1016656 1270820 1969771 2033312 2541640 3939542 4066624 5083280 7879084 8133248 9848855 10166560 15758168 16266496 19697710 20333120 31516336 32532992 39395420 40666240 63032672 65065984 78790840 81332480 126065344 130131968 157581680 162664960 252130688 315163360 325329920 504261376 630326720 650659840 1008522752 1260653440 2017045504 2521306880 4034091008 5042613760 10085227520 20170455040