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706683780 = 2232511615851
BaseRepresentation
bin101010000111110…
…010001110000100
31211020202020220100
4222013302032010
52421402340110
6154042404100
723340466365
oct5207621604
91736666810
10706683780
113329a4a90
12178800630
13b353c6aa
1469bd7b6c
1542092bc0
hex2a1f2384

706683780 has 144 divisors (see below), whose sum is σ = 2377222848. Its totient is φ = 168480000.

The previous prime is 706683767. The next prime is 706683811. The reversal of 706683780 is 87386607.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 117855 + ... + 123705.

It is an arithmetic number, because the mean of its divisors is an integer number (16508492).

Almost surely, 2706683780 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 706683780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188611424).

706683780 is an abundant number, since it is smaller than the sum of its proper divisors (1670539068).

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

706683780 is a wasteful number, since it uses less digits than its factorization.

706683780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 706683780 is about 26583.5245970131. The cubic root of 706683780 is about 890.7210333381.

It can be divided in two parts, 706 and 683780, that added together give a palindrome (684486).

The spelling of 706683780 in words is "seven hundred six million, six hundred eighty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 122 132 165 180 183 198 220 244 305 330 366 396 495 549 610 660 671 732 915 990 1098 1220 1342 1830 1980 2013 2196 2684 2745 3355 3660 4026 5490 5851 6039 6710 8052 10065 10980 11702 12078 13420 17553 20130 23404 24156 29255 30195 35106 40260 52659 58510 60390 64361 70212 87765 105318 117020 120780 128722 175530 193083 210636 257444 263295 321805 351060 356911 386166 526590 579249 643610 713822 772332 965415 1053180 1070733 1158498 1287220 1427644 1784555 1930830 2141466 2316996 2896245 3212199 3569110 3861660 3926021 4282932 5353665 5792490 6424398 7138220 7852042 10707330 11584980 11778063 12848796 15704084 16060995 19630105 21414660 23556126 32121990 35334189 39260210 47112252 58890315 64243980 70668378 78520420 117780630 141336756 176670945 235561260 353341890 706683780