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64084720 = 2457192317
BaseRepresentation
bin1111010001110…
…1101011110000
311110120211201011
43310131223300
5112401202340
610205320304
71405465630
oct364355360
9143524634
1064084720
11331a0887
1219566094
131037a26b
1487226c0
15595d0ea
hex3d1daf0

64084720 has 120 divisors (see below), whose sum is σ = 180283104. Its totient is φ = 20749824.

The previous prime is 64084711. The next prime is 64084723. The reversal of 64084720 is 2748046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64084723) 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, 202002 + ... + 202318.

Almost surely, 264084720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64084720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90141552).

64084720 is an abundant number, since it is smaller than the sum of its proper divisors (116198384).

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

64084720 is a wasteful number, since it uses less digits than its factorization.

64084720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 64084720 is about 8005.2932488448. The cubic root of 64084720 is about 400.1764221766.

The spelling of 64084720 in words is "sixty-four million, eighty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 317 361 380 532 560 634 665 722 760 1064 1268 1330 1444 1520 1585 1805 2128 2219 2527 2536 2660 2888 3170 3610 4438 5054 5072 5320 5776 6023 6340 7220 8876 10108 10640 11095 12046 12635 12680 14440 17752 20216 22190 24092 25270 25360 28880 30115 35504 40432 42161 44380 48184 50540 60230 84322 88760 96368 101080 114437 120460 168644 177520 202160 210805 228874 240920 337288 421610 457748 481840 572185 674576 801059 843220 915496 1144370 1602118 1686440 1830992 2288740 3204236 3372880 4005295 4577480 6408472 8010590 9154960 12816944 16021180 32042360 64084720