Search a number
-
+
210716701400 = 23523592934773
BaseRepresentation
bin1100010000111110110…
…0011011001011011000
3202010220012122112010002
43010033230123023120
511423021433421100
6240445114112132
721136520260262
oct3041754331330
9663805575102
10210716701400
11814010a2617
1234a0871b648
1316b416458ca
14a2ad4c8b32
1557342032d5
hex310fb1b2d8

210716701400 has 48 divisors (see below), whose sum is σ = 491281167600. Its totient is φ = 84051870080.

The previous prime is 210716701397. The next prime is 210716701409. The reversal of 210716701400 is 4107617012.

210716701400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210716701409) 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 11 ways as a sum of consecutive naturals, for example, 1395587 + ... + 1539186.

It is an arithmetic number, because the mean of its divisors is an integer number (10235024325).

Almost surely, 2210716701400 is an apocalyptic number.

210716701400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210716701400 is an abundant number, since it is smaller than the sum of its proper divisors (280564466200).

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

210716701400 is a wasteful number, since it uses less digits than its factorization.

210716701400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935148 (or 2935139 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The spelling of 210716701400 in words is "two hundred ten billion, seven hundred sixteen million, seven hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 359 718 1436 1795 2872 3590 7180 8975 14360 17950 35900 71800 2934773 5869546 11739092 14673865 23478184 29347730 58695460 73369325 117390920 146738650 293477300 586954600 1053583507 2107167014 4214334028 5267917535 8428668056 10535835070 21071670140 26339587675 42143340280 52679175350 105358350700 210716701400