Search a number
-
+
210714470680 = 235721031043761
BaseRepresentation
bin1100010000111110001…
…1111010100100011000
3202010220001110012010211
43010033203322210120
511423020401030210
6240444554220504
721136462306600
oct3041743724430
9663801405124
10210714470680
11813aa90964a
1234a07a24734
1316b4104445c
14a2ad0a7c00
155733e1238a
hex310f8fa918

210714470680 has 96 divisors (see below), whose sum is σ = 556867902240. Its totient is φ = 71543485440.

The previous prime is 210714470651. The next prime is 210714470689. The reversal of 210714470680 is 86074417012.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210714470689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320001 + ... + 723760.

It is an arithmetic number, because the mean of its divisors is an integer number (5800707315).

Almost surely, 2210714470680 is an apocalyptic number.

210714470680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210714470680 is an abundant number, since it is smaller than the sum of its proper divisors (346153431560).

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

210714470680 is a wasteful number, since it uses less digits than its factorization.

210714470680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043889 (or 1043878 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

Adding to 210714470680 its reverse (86074417012), we get a palindrome (296788887692).

The spelling of 210714470680 in words is "two hundred ten billion, seven hundred fourteen million, four hundred seventy thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 103 140 196 206 245 280 392 412 490 515 721 824 980 1030 1442 1960 2060 2884 3605 4120 5047 5768 7210 10094 14420 20188 25235 28840 40376 50470 100940 201880 1043761 2087522 4175044 5218805 7306327 8350088 10437610 14612654 20875220 29225308 36531635 41750440 51144289 58450616 73063270 102288578 107507383 146126540 204577156 215014766 255721445 292253080 409154312 430029532 511442890 537536915 752551681 860059064 1022885780 1075073830 1505103362 2045771560 2150147660 3010206724 3762758405 4300295320 5267861767 6020413448 7525516810 10535723534 15051033620 21071447068 26339308835 30102067240 42142894136 52678617670 105357235340 210714470680