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3796680 = 2335291091
BaseRepresentation
bin1110011110111011001000
321010220001210
432132323020
51432443210
6213213120
744162016
oct16367310
97126053
103796680
112163558
1213311a0
13a2c174
1470b8b6
154eee20
hex39eec8

3796680 has 64 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 976640.

The previous prime is 3796673. The next prime is 3796693. The reversal of 3796680 is 866973.

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 15 ways as a sum of consecutive naturals, for example, 2935 + ... + 4025.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 23796680 is an apocalyptic number.

3796680 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 3796680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3796680 is an abundant number, since it is smaller than the sum of its proper divisors (7996920).

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

3796680 is a wasteful number, since it uses less digits than its factorization.

3796680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3796680 is about 1948.5071208492. The cubic root of 3796680 is about 156.0036159583.

The spelling of 3796680 in words is "three million, seven hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1091 1160 1740 2182 3273 3480 4364 5455 6546 8728 10910 13092 16365 21820 26184 31639 32730 43640 63278 65460 94917 126556 130920 158195 189834 253112 316390 379668 474585 632780 759336 949170 1265560 1898340 3796680