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3821680 = 245233167
BaseRepresentation
bin1110100101000001110000
321012011100201
432211001300
51434243210
6213524544
744324632
oct16450160
97164321
103821680
112180315
121343754
13a3a665
14716a52
1550753a
hex3a5070

3821680 has 80 divisors (see below), whose sum is σ = 9713664. Its totient is φ = 1393920.

The previous prime is 3821669. The next prime is 3821681. The reversal of 3821680 is 861283.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3821681) 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, 57007 + ... + 57073.

Almost surely, 23821680 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 3821680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856832).

3821680 is an abundant number, since it is smaller than the sum of its proper divisors (5891984).

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

3821680 is a wasteful number, since it uses less digits than its factorization.

3821680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 3821680 is about 1954.9117627146. The cubic root of 3821680 is about 156.3452794878.

The spelling of 3821680 in words is "three million, eight hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 67 80 92 115 124 134 155 184 230 248 268 310 335 368 460 496 536 620 670 713 920 1072 1240 1340 1426 1541 1840 2077 2480 2680 2852 3082 3565 4154 5360 5704 6164 7130 7705 8308 10385 11408 12328 14260 15410 16616 20770 24656 28520 30820 33232 41540 47771 57040 61640 83080 95542 123280 166160 191084 238855 382168 477710 764336 955420 1910840 3821680