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670791680 = 2115135039
BaseRepresentation
bin100111111110110…
…111100000000000
31201202012202012022
4213332313200000
52333210313210
6150321221012
722423430606
oct4776674000
91652182168
10670791680
1131470a799
12168791768
13a8c83870
1465133876
153dd53155
hex27fb7800

670791680 has 96 divisors (see below), whose sum is σ = 1733659200. Its totient is φ = 247627776.

The previous prime is 670791677. The next prime is 670791683. The reversal of 670791680 is 86197076.

670791680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (670791677) and next prime (670791683).

It is a super-2 number, since 2×6707916802 = 899922955914444800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670791683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130601 + ... + 135639.

It is an arithmetic number, because the mean of its divisors is an integer number (18058950).

Almost surely, 2670791680 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 670791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866829600).

670791680 is an abundant number, since it is smaller than the sum of its proper divisors (1062867520).

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

670791680 is a wasteful number, since it uses less digits than its factorization.

670791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 670791680 is about 25899.6463296316. The cubic root of 670791680 is about 875.3785268371.

The spelling of 670791680 in words is "six hundred seventy million, seven hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2048 2080 2560 3328 4160 5039 5120 6656 8320 10078 10240 13312 16640 20156 25195 26624 33280 40312 50390 65507 66560 80624 100780 131014 133120 161248 201560 262028 322496 327535 403120 524056 644992 655070 806240 1048112 1289984 1310140 1612480 2096224 2579968 2620280 3224960 4192448 5159936 5240560 6449920 8384896 10319872 10481120 12899840 16769792 20962240 25799680 33539584 41924480 51599360 67079168 83848960 134158336 167697920 335395840 670791680