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4131930 = 2351119659
BaseRepresentation
bin1111110000110001011010
321202220221110
433300301122
52024210210
6224321150
750056305
oct17606132
97686843
104131930
112372420
1214731b6
13b1893a
14797b3c
15569420
hex3f0c5a

4131930 has 64 divisors (see below), whose sum is σ = 11404800. Its totient is φ = 947520.

The previous prime is 4131923. The next prime is 4131961. The reversal of 4131930 is 391314.

It is a junction number, because it is equal to n+sod(n) for n = 4131897 and 4131906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5941 + ... + 6599.

It is an arithmetic number, because the mean of its divisors is an integer number (178200).

Almost surely, 24131930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702400).

4131930 is an abundant number, since it is smaller than the sum of its proper divisors (7272870).

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

4131930 is a wasteful number, since it uses less digits than its factorization.

4131930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 4131930 is about 2032.7149332850. The cubic root of 4131930 is about 160.4664772138.

The spelling of 4131930 in words is "four million, one hundred thirty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 659 1045 1254 1318 1977 2090 3135 3295 3954 6270 6590 7249 9885 12521 14498 19770 21747 25042 36245 37563 43494 62605 72490 75126 108735 125210 137731 187815 217470 275462 375630 413193 688655 826386 1377310 2065965 4131930