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20230592640 = 273583126949
BaseRepresentation
bin10010110101110101…
…100101100010000000
31221012220102120212220
4102311311211202000
5312413012431030
613143243451040
71314222125436
oct226565454200
957186376786
1020230592640
118641707755
123b07226a80
131ba53b389b
14d9cb8cd56
157d6119a10
hex4b5d65880

20230592640 has 128 divisors (see below), whose sum is σ = 65262456000. Its totient is φ = 5329784832.

The previous prime is 20230592621. The next prime is 20230592687. The reversal of 20230592640 is 4629503202.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95886 + ... + 222834.

Almost surely, 220230592640 is an apocalyptic number.

20230592640 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 20230592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32631228000).

20230592640 is an abundant number, since it is smaller than the sum of its proper divisors (45031863360).

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

20230592640 is a wasteful number, since it uses less digits than its factorization.

20230592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127054 (or 127042 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 20230592640 in words is "twenty billion, two hundred thirty million, five hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 128 160 166 192 240 249 320 332 384 415 480 498 640 664 830 960 996 1245 1328 1660 1920 1992 2490 2656 3320 3984 4980 5312 6640 7968 9960 10624 13280 15936 19920 26560 31872 39840 53120 79680 126949 159360 253898 380847 507796 634745 761694 1015592 1269490 1523388 1904235 2031184 2538980 3046776 3808470 4062368 5077960 6093552 7616940 8124736 10155920 10536767 12187104 15233880 16249472 20311840 21073534 24374208 30467760 31610301 40623680 42147068 48748416 52683835 60935520 63220602 81247360 84294136 105367670 121871040 126441204 158051505 168588272 210735340 243742080 252882408 316103010 337176544 421470680 505764816 632206020 674353088 842941360 1011529632 1264412040 1348706176 1685882720 2023059264 2528824080 3371765440 4046118528 5057648160 6743530880 10115296320 20230592640