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3881920 = 26571733
BaseRepresentation
bin1110110011101111000000
321022012222211
432303233000
51443210140
6215111504
744665360
oct16635700
97265884
103881920
1122115a9
121372594
13a5bbc3
147309a0
1551a2ea
hex3b3bc0

3881920 has 56 divisors (see below), whose sum is σ = 10570464. Its totient is φ = 1330176.

The previous prime is 3881887. The next prime is 3881951. The reversal of 3881920 is 291883.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1374 + ... + 3106.

Almost surely, 23881920 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 3881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285232).

3881920 is an abundant number, since it is smaller than the sum of its proper divisors (6688544).

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

3881920 is a wasteful number, since it uses less digits than its factorization.

3881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 3881920 is about 1970.2588662407. The cubic root of 3881920 is about 157.1624753154.

The spelling of 3881920 in words is "three million, eight hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1733 2240 3466 6932 8665 12131 13864 17330 24262 27728 34660 48524 55456 60655 69320 97048 110912 121310 138640 194096 242620 277280 388192 485240 554560 776384 970480 1940960 3881920