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4105890 = 234537137
BaseRepresentation
bin1111101010011010100010
321201121020000
433222122202
52022342030
6224000430
746620345
oct17523242
97647200
104105890
1123548a8
121460116
13b09b29
1478c45c
15561860
hex3ea6a2

4105890 has 80 divisors (see below), whose sum is σ = 11421432. Its totient is φ = 1057536.

The previous prime is 4105879. The next prime is 4105901. The reversal of 4105890 is 985014.

It is an interprime number because it is at equal distance from previous prime (4105879) and next prime (4105901).

It can be written as a sum of positive squares in 4 ways, for example, as 3956121 + 149769 = 1989^2 + 387^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29902 + ... + 30038.

Almost surely, 24105890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710716).

4105890 is an abundant number, since it is smaller than the sum of its proper divisors (7315542).

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

4105890 is a wasteful number, since it uses less digits than its factorization.

4105890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 4105890 is about 2026.2995829837. The cubic root of 4105890 is about 160.1286725350.

The spelling of 4105890 in words is "four million, one hundred five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 137 162 185 222 270 274 333 370 405 411 555 666 685 810 822 999 1110 1233 1370 1665 1998 2055 2466 2997 3330 3699 4110 4995 5069 5994 6165 7398 9990 10138 11097 12330 14985 15207 18495 22194 25345 29970 30414 36990 45621 50690 55485 76035 91242 110970 136863 152070 228105 273726 410589 456210 684315 821178 1368630 2052945 4105890