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1214734680 = 233251271632
BaseRepresentation
bin100100001100111…
…0110000101011000
310010122201220201100
41020121312011120
54441433002210
6320311551400
742050034345
oct11031660530
93118656640
101214734680
11573760165
1229a98b560
13164883123
14b74877cc
157199b5c0
hex48676158

1214734680 has 144 divisors (see below), whose sum is σ = 4003534080. Its totient is φ = 319406976.

The previous prime is 1214734637. The next prime is 1214734681. The reversal of 1214734680 is 864374121.

1214734680 is a `hidden beast` number, since 121 + 4 + 73 + 468 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214734681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7452279 + ... + 7452441.

It is an arithmetic number, because the mean of its divisors is an integer number (27802320).

Almost surely, 21214734680 is an apocalyptic number.

1214734680 is a gapful number since it is divisible by the number (10) 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 1214734680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001767040).

1214734680 is an abundant number, since it is smaller than the sum of its proper divisors (2788799400).

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

1214734680 is a wasteful number, since it uses less digits than its factorization.

1214734680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1214734680 is about 34853.0440564379. The cubic root of 1214734680 is about 1066.9903136818.

The spelling of 1214734680 in words is "one billion, two hundred fourteen million, seven hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 127 163 180 254 326 360 381 489 508 635 652 762 815 978 1016 1143 1270 1304 1467 1524 1630 1905 1956 2286 2445 2540 2934 3048 3260 3810 3912 4572 4890 5080 5715 5868 6520 7335 7620 9144 9780 11430 11736 14670 15240 19560 20701 22860 26569 29340 41402 45720 53138 58680 62103 79707 82804 103505 106276 124206 132845 159414 165608 186309 207010 212552 239121 248412 265690 310515 318828 372618 398535 414020 478242 496824 531380 621030 637656 745236 797070 828040 931545 956484 1062760 1195605 1242060 1490472 1594140 1863090 1912968 2391210 2484120 3188280 3374263 3726180 4782420 6748526 7452360 9564840 10122789 13497052 16871315 20245578 26994104 30368367 33742630 40491156 50613945 60736734 67485260 80982312 101227890 121473468 134970520 151841835 202455780 242946936 303683670 404911560 607367340 1214734680