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3680740 = 225761431
BaseRepresentation
bin1110000010100111100100
320221000000201
432002213210
51420240430
6210520244
743200010
oct16024744
96830021
103680740
112094438
121296084
139bb46b
146bb540
154ca8ca
hex3829e4

3680740 has 48 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 1238400.

The previous prime is 3680681. The next prime is 3680741. The reversal of 3680740 is 470863.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3680699 and 3680708.

It is not an unprimeable number, because it can be changed into a prime (3680741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8325 + ... + 8755.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 23680740 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 3680740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

3680740 is an abundant number, since it is smaller than the sum of its proper divisors (5318684).

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

3680740 is a wasteful number, since it uses less digits than its factorization.

3680740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3680740 is about 1918.5254754629. The cubic root of 3680740 is about 154.3992004218.

The spelling of 3680740 in words is "three million, six hundred eighty thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 431 610 854 862 1220 1708 1724 2135 2155 3017 4270 4310 6034 8540 8620 12068 15085 26291 30170 52582 60340 105164 131455 184037 262910 368074 525820 736148 920185 1840370 3680740