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3679080 = 2335233143
BaseRepresentation
bin1110000010001101101000
320220220202020
432002031220
51420212310
6210504440
743162116
oct16021550
96826666
103679080
112093169
121295120
139ba792
146baab6
154ca170
hex382368

3679080 has 128 divisors (see below), whose sum is σ = 12165120. Its totient is φ = 887040.

The previous prime is 3679079. The next prime is 3679087. The reversal of 3679080 is 809763.

It is a happy number.

3679080 is nontrivially palindromic in base 14.

It is not an unprimeable number, because it can be changed into a prime (3679087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85539 + ... + 85581.

It is an arithmetic number, because the mean of its divisors is an integer number (95040).

Almost surely, 23679080 is an apocalyptic number.

3679080 is a gapful number since it is divisible by the number (30) 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 3679080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082560).

3679080 is an abundant number, since it is smaller than the sum of its proper divisors (8486040).

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

3679080 is a wasteful number, since it uses less digits than its factorization.

3679080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3679080 is about 1918.0928027601. The cubic root of 3679080 is about 154.3759857772.

The spelling of 3679080 in words is "three million, six hundred seventy-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 31 40 43 46 60 62 69 86 92 93 115 120 124 129 138 155 172 184 186 215 230 248 258 276 310 344 345 372 430 460 465 516 552 620 645 690 713 744 860 920 930 989 1032 1240 1290 1333 1380 1426 1720 1860 1978 2139 2580 2666 2760 2852 2967 3565 3720 3956 3999 4278 4945 5160 5332 5704 5934 6665 7130 7912 7998 8556 9890 10664 10695 11868 13330 14260 14835 15996 17112 19780 19995 21390 23736 26660 28520 29670 30659 31992 39560 39990 42780 53320 59340 61318 79980 85560 91977 118680 122636 153295 159960 183954 245272 306590 367908 459885 613180 735816 919770 1226360 1839540 3679080