Search a number
-
+
20434533030 = 23252973107251
BaseRepresentation
bin10011000001111111…
…100011101010100110
31221202010011211111200
4103001333203222212
5313322220024110
613215410543330
71322246444022
oct230177435246
957663154450
1020434533030
11873684112a
123b63597b46
131c0871a582
14dbbcb9382
157e8ea16c0
hex4c1fe3aa6

20434533030 has 96 divisors (see below), whose sum is σ = 55715268960. Its totient is φ = 5189184000.

The previous prime is 20434532999. The next prime is 20434533037. The reversal of 20434533030 is 3033543402.

It is a happy number.

20434533030 is a `hidden beast` number, since 204 + 3 + 453 + 3 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20434532985 and 20434533003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434533037) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 136905 + ... + 244155.

It is an arithmetic number, because the mean of its divisors is an integer number (580367385).

Almost surely, 220434533030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20434533030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27857634480).

20434533030 is an abundant number, since it is smaller than the sum of its proper divisors (35280735930).

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

20434533030 is a wasteful number, since it uses less digits than its factorization.

20434533030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107366 (or 107363 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The spelling of 20434533030 in words is "twenty billion, four hundred thirty-four million, five hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 73 87 90 145 146 174 219 261 290 365 435 438 522 657 730 870 1095 1305 1314 2117 2190 2610 3285 4234 6351 6570 10585 12702 19053 21170 31755 38106 63510 95265 107251 190530 214502 321753 536255 643506 965259 1072510 1608765 1930518 3110279 3217530 4826295 6220558 7829323 9330837 9652590 15551395 15658646 18661674 23487969 27992511 31102790 39146615 46654185 46975938 55985022 70463907 78293230 93308370 117439845 139962555 140927814 227050367 234879690 279925110 352319535 454100734 681151101 704639070 1135251835 1362302202 2043453303 2270503670 3405755505 4086906606 6811511010 10217266515 20434533030