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20207076030 = 23253719730803
BaseRepresentation
bin10010110100011011…
…111000001010111110
31221011021011211011100
4102310123320022332
5312341002413110
613141043433530
71313515212051
oct226433701276
957137154140
1020207076030
11862a405339
123abb3858a6
131ba056b92b
14d999caa98
157d4021bc0
hex4b46f82be

20207076030 has 96 divisors (see below), whose sum is σ = 54234015264. Its totient is φ = 5216133888.

The previous prime is 20207076017. The next prime is 20207076037. The reversal of 20207076030 is 3067070202.

It is a super-3 number, since 3×202070760303 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20207075985 and 20207076003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20207076037) 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, 640609 + ... + 671411.

It is an arithmetic number, because the mean of its divisors is an integer number (564937659).

Almost surely, 220207076030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20207076030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27117007632).

20207076030 is an abundant number, since it is smaller than the sum of its proper divisors (34026939234).

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

20207076030 is a wasteful number, since it uses less digits than its factorization.

20207076030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31050 (or 31047 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 20207076030 in words is "twenty billion, two hundred seven million, seventy-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 197 222 333 370 394 555 591 666 985 1110 1182 1665 1773 1970 2955 3330 3546 5910 7289 8865 14578 17730 21867 30803 36445 43734 61606 65601 72890 92409 109335 131202 154015 184818 218670 277227 308030 328005 462045 554454 656010 924090 1139711 1386135 2279422 2772270 3419133 5698555 6068191 6838266 10257399 11397110 12136382 17095665 18204573 20514798 30340955 34191330 36409146 51286995 54613719 60681910 91022865 102573990 109227438 182045730 224523067 273068595 449046134 546137190 673569201 1122615335 1347138402 2020707603 2245230670 3367846005 4041415206 6735692010 10103538015 20207076030