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6432652020 = 22353710612731
BaseRepresentation
bin1011111110110101…
…00111101011110100
3121121022011120200010
411333122213223310
5101133224331040
62542150020220
7315256432344
oct57732475364
917538146603
106432652020
112801078743
1212b6347670
137b6900492
14450472d24
15279aeae80
hex17f6a7af4

6432652020 has 96 divisors (see below), whose sum is σ = 18522435456. Its totient is φ = 1666828800.

The previous prime is 6432652007. The next prime is 6432652067. The reversal of 6432652020 is 202562346.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2354055 + ... + 2356785.

It is an arithmetic number, because the mean of its divisors is an integer number (192942036).

Almost surely, 26432652020 is an apocalyptic number.

6432652020 is a gapful number since it is divisible by the number (60) 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 6432652020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261217728).

6432652020 is an abundant number, since it is smaller than the sum of its proper divisors (12089783436).

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

6432652020 is a wasteful number, since it uses less digits than its factorization.

6432652020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 6432652020 is about 80203.8154952743. The cubic root of 6432652020 is about 1859.7876217218.

The spelling of 6432652020 in words is "six billion, four hundred thirty-two million, six hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1061 1110 2122 2220 2731 3183 4244 5305 5462 6366 8193 10610 10924 12732 13655 15915 16386 21220 27310 31830 32772 39257 40965 54620 63660 78514 81930 101047 117771 157028 163860 196285 202094 235542 303141 392570 404188 471084 505235 588855 606282 785140 1010470 1177710 1212564 1515705 2020940 2355420 2897591 3031410 5795182 6062820 8692773 11590364 14487955 17385546 28975910 34771092 43463865 57951820 86927730 107210867 173855460 214421734 321632601 428843468 536054335 643265202 1072108670 1286530404 1608163005 2144217340 3216326010 6432652020