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706727680 = 2852979241
BaseRepresentation
bin101010000111111…
…100111100000000
31211020211111010021
4222013330330000
52421410241210
6154043343224
723341041361
oct5207747400
91736744107
10706727680
11332a24a6a
12178821b14
13b3556679
1469c09b68
15420a0bda
hex2a1fcf00

706727680 has 144 divisors (see below), whose sum is σ = 1780732800. Its totient is φ = 268369920.

The previous prime is 706727657. The next prime is 706727731. The reversal of 706727680 is 86727607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2932360 + ... + 2932600.

It is an arithmetic number, because the mean of its divisors is an integer number (12366200).

Almost surely, 2706727680 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 706727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890366400).

706727680 is an abundant number, since it is smaller than the sum of its proper divisors (1074005120).

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

706727680 is a wasteful number, since it uses less digits than its factorization.

706727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 43.

The square root of 706727680 is about 26584.3502835785. The cubic root of 706727680 is about 890.7394771573.

The spelling of 706727680 in words is "seven hundred six million, seven hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 79 80 116 128 145 158 160 232 241 256 290 316 320 395 464 482 580 632 640 790 928 964 1160 1205 1264 1280 1580 1856 1928 2291 2320 2410 2528 3160 3712 3856 4582 4640 4820 5056 6320 6989 7424 7712 9164 9280 9640 10112 11455 12640 13978 15424 18328 18560 19039 19280 20224 22910 25280 27956 30848 34945 36656 37120 38078 38560 45820 50560 55912 61696 69890 73312 76156 77120 91640 95195 101120 111824 139780 146624 152312 154240 183280 190390 223648 279560 293248 304624 308480 366560 380780 447296 552131 559120 586496 609248 733120 761560 894592 1104262 1118240 1218496 1466240 1523120 1789184 2208524 2236480 2436992 2760655 2932480 3046240 4417048 4472960 4873984 5521310 6092480 8834096 8945920 11042620 12184960 17668192 22085240 24369920 35336384 44170480 70672768 88340960 141345536 176681920 353363840 706727680