Search a number
-
+
20331003440 = 2451123996667
BaseRepresentation
bin10010111011110100…
…100111111000110000
31221110220100222121102
4102323310213320300
5313114214102230
613201231543532
71316551451336
oct227364477060
957426328542
1020331003440
118693359890
123b3498aba8
131bc013c367
14dac249b56
157ded51045
hex4bbd27e30

20331003440 has 80 divisors (see below), whose sum is σ = 51783114240. Its totient is φ = 7362082560.

The previous prime is 20331003439. The next prime is 20331003487. The reversal of 20331003440 is 4430013302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161987 + ... + 258653.

It is an arithmetic number, because the mean of its divisors is an integer number (647288928).

Almost surely, 220331003440 is an apocalyptic number.

20331003440 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 20331003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25891557120).

20331003440 is an abundant number, since it is smaller than the sum of its proper divisors (31452110800).

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

20331003440 is a wasteful number, since it uses less digits than its factorization.

20331003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96930 (or 96924 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20331003440 its reverse (4430013302), we get a palindrome (24761016742).

The spelling of 20331003440 in words is "twenty billion, three hundred thirty-one million, three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 239 440 478 880 956 1195 1912 2390 2629 3824 4780 5258 9560 10516 13145 19120 21032 26290 42064 52580 96667 105160 193334 210320 386668 483335 773336 966670 1063337 1546672 1933340 2126674 3866680 4253348 5316685 7733360 8506696 10633370 17013392 21266740 23103413 42533480 46206826 85066960 92413652 115517065 184827304 231034130 254137543 369654608 462068260 508275086 924136520 1016550172 1270687715 1848273040 2033100344 2541375430 4066200688 5082750860 10165501720 20331003440