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3161920 = 26541241
BaseRepresentation
bin1100000011111101000000
312221122100011
430003331000
51302140140
6151434304
735606266
oct14037500
95848304
103161920
11186a663
121085994
13869278
145c4436
15426cea
hex303f40

3161920 has 56 divisors (see below), whose sum is σ = 7744968. Its totient is φ = 1228800.

The previous prime is 3161897. The next prime is 3161953. The reversal of 3161920 is 291613.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 3069504 = 304^2 + 1752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3161891 and 3161900.

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, 13000 + ... + 13240.

It is an arithmetic number, because the mean of its divisors is an integer number (138303).

Almost surely, 23161920 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 3161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872484).

3161920 is an abundant number, since it is smaller than the sum of its proper divisors (4583048).

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

3161920 is a wasteful number, since it uses less digits than its factorization.

3161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 3161920 is about 1778.1788436487. The cubic root of 3161920 is about 146.7743928488.

The spelling of 3161920 in words is "three million, one hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 241 320 328 410 482 656 820 964 1205 1312 1640 1928 2410 2624 3280 3856 4820 6560 7712 9640 9881 13120 15424 19280 19762 38560 39524 49405 77120 79048 98810 158096 197620 316192 395240 632384 790480 1580960 3161920