Search a number
-
+
10000000320 = 263512782021
BaseRepresentation
bin10010101000000101…
…11110010101000000
3221210220202122120020
421110002332111000
5130440000002240
64332142413440
7502544412612
oct112402762500
927726678506
1010000000320
114271815282
121b30b91280
13c349ba66b
146ac162db2
153d7dad0d0
hex2540be540

10000000320 has 112 divisors (see below), whose sum is σ = 32000391168. Its totient is φ = 2645637120.

The previous prime is 10000000319. The next prime is 10000000343. The reversal of 10000000320 is 2300000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10000000299 and 10000000308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80910 + ... + 162930.

Almost surely, 210000000320 is an apocalyptic number.

10000000320 is a gapful number since it is divisible by the number (10) 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 10000000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16000195584).

10000000320 is an abundant number, since it is smaller than the sum of its proper divisors (22000390848).

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

10000000320 is a wasteful number, since it uses less digits than its factorization.

10000000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82168 (or 82158 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 10000000320 its reverse (2300000001), we get a palindrome (12300000321).

The spelling of 10000000320 in words is "ten billion, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 160 192 240 254 320 381 480 508 635 762 960 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 8128 10160 12192 15240 20320 24384 30480 40640 60960 82021 121920 164042 246063 328084 410105 492126 656168 820210 984252 1230315 1312336 1640420 1968504 2460630 2624672 3280840 3937008 4921260 5249344 6561680 7874016 9842520 10416667 13123360 15748032 19685040 20833334 26246720 31250001 39370080 41666668 52083335 62500002 78740160 83333336 104166670 125000004 156250005 166666672 208333340 250000008 312500010 333333344 416666680 500000016 625000020 666666688 833333360 1000000032 1250000040 1666666720 2000000064 2500000080 3333333440 5000000160 10000000320