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3930880 = 2853783
BaseRepresentation
bin1110111111101100000000
321101201011011
432333230000
52001242010
6220130304
745261202
oct16775400
97351134
103930880
112245368
121396994
13a78285
14744772
15529a8a
hex3bfb00

3930880 has 72 divisors (see below), whose sum is σ = 9786672. Its totient is φ = 1511424.

The previous prime is 3930869. The next prime is 3930887. The reversal of 3930880 is 880393.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3930887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47319 + ... + 47401.

It is an arithmetic number, because the mean of its divisors is an integer number (135926).

Almost surely, 23930880 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 3930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893336).

3930880 is an abundant number, since it is smaller than the sum of its proper divisors (5855792).

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

3930880 is an equidigital number, since it uses as much as digits as its factorization.

3930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 3930880 is about 1982.6446983764. The cubic root of 3930880 is about 157.8204444257.

The spelling of 3930880 in words is "three million, nine hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 83 128 148 160 166 185 256 296 320 332 370 415 592 640 664 740 830 1184 1280 1328 1480 1660 2368 2656 2960 3071 3320 4736 5312 5920 6142 6640 9472 10624 11840 12284 13280 15355 21248 23680 24568 26560 30710 47360 49136 53120 61420 98272 106240 122840 196544 245680 393088 491360 786176 982720 1965440 3930880