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3818080 = 25572487
BaseRepresentation
bin1110100100001001100000
321011222102101
432210021200
51434134310
6213500144
744311300
oct16441140
97158371
103818080
112178642
121341654
13a38b26
14715600
1550643a
hex3a4260

3818080 has 72 divisors (see below), whose sum is σ = 10514448. Its totient is φ = 1306368.

The previous prime is 3818077. The next prime is 3818093. The reversal of 3818080 is 808183.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7597 + ... + 8083.

It is an arithmetic number, because the mean of its divisors is an integer number (146034).

Almost surely, 23818080 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 3818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257224).

3818080 is an abundant number, since it is smaller than the sum of its proper divisors (6696368).

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

3818080 is a wasteful number, since it uses less digits than its factorization.

3818080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 3818080 is about 1953.9907881052. The cubic root of 3818080 is about 156.2961719548.

The spelling of 3818080 in words is "three million, eight hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 487 490 560 784 974 980 1120 1568 1948 1960 2435 3409 3896 3920 4870 6818 7792 7840 9740 13636 15584 17045 19480 23863 27272 34090 38960 47726 54544 68180 77920 95452 109088 119315 136360 190904 238630 272720 381808 477260 545440 763616 954520 1909040 3818080