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64412700 = 2235211131149
BaseRepresentation
bin1111010110110…
…1110000011100
311111012111121120
43311231300130
5112442201300
610220330540
71411333062
oct365556034
9144174546
1064412700
11333a5240
12196a3a50
1310463631
1487aa032
1559c53a0
hex3d6dc1c

64412700 has 144 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 15392000.

The previous prime is 64412693. The next prime is 64412723. The reversal of 64412700 is 721446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432226 + ... + 432374.

It is an arithmetic number, because the mean of its divisors is an integer number (1432200).

Almost surely, 264412700 is an apocalyptic number.

64412700 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 64412700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

64412700 is an abundant number, since it is smaller than the sum of its proper divisors (141824100).

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

64412700 is a wasteful number, since it uses less digits than its factorization.

64412700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 64412700 is about 8025.7523011865. The cubic root of 64412700 is about 400.8579501548.

The spelling of 64412700 in words is "sixty-four million, four hundred twelve thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 131 132 149 150 165 220 262 275 298 300 330 393 447 524 550 596 655 660 745 786 825 894 1100 1310 1441 1490 1572 1639 1650 1788 1965 2235 2620 2882 2980 3275 3278 3300 3725 3930 4323 4470 4917 5764 6550 6556 7205 7450 7860 8195 8646 8940 9825 9834 11175 13100 14410 14900 16390 17292 19519 19650 19668 21615 22350 24585 28820 32780 36025 39038 39300 40975 43230 44700 49170 58557 72050 78076 81950 86460 97595 98340 108075 117114 122925 144100 163900 195190 214709 216150 234228 245850 292785 390380 429418 432300 487975 491700 585570 644127 858836 975950 1073545 1171140 1288254 1463925 1951900 2147090 2576508 2927850 3220635 4294180 5367725 5855700 6441270 10735450 12882540 16103175 21470900 32206350 64412700