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3195920 = 245713439
BaseRepresentation
bin1100001100010000010000
320000100222102
430030100100
51304232140
6152255532
736110360
oct14142020
96010872
103195920
111893162
1210a15a8
1387b8a0
145d29a0
15431e15
hex30c410

3195920 has 80 divisors (see below), whose sum is σ = 9166080. Its totient is φ = 1009152.

The previous prime is 3195911. The next prime is 3195947. The reversal of 3195920 is 295913.

3195920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7061 + ... + 7499.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

Almost surely, 23195920 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 3195920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583040).

3195920 is an abundant number, since it is smaller than the sum of its proper divisors (5970160).

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

3195920 is a wasteful number, since it uses less digits than its factorization.

3195920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 3195920 is about 1787.7136235986. The cubic root of 3195920 is about 147.2986047741.

The spelling of 3195920 in words is "three million, one hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 439 455 520 560 728 878 910 1040 1456 1756 1820 2195 3073 3512 3640 4390 5707 6146 7024 7280 8780 11414 12292 15365 17560 22828 24584 28535 30730 35120 39949 45656 49168 57070 61460 79898 91312 114140 122920 159796 199745 228280 245840 319592 399490 456560 639184 798980 1597960 3195920