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4111020 = 2233523331
BaseRepresentation
bin1111101011101010101100
321201212021000
433223222230
52023023040
6224040300
746641324
oct17535254
97655230
104111020
112358741
121463090
13b0c274
14790284
15563130
hex3ebaac

4111020 has 96 divisors (see below), whose sum is σ = 13386240. Its totient is φ = 1045440.

The previous prime is 4111007. The next prime is 4111021. The reversal of 4111020 is 201114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 4110993 and 4111011.

It is not an unprimeable number, because it can be changed into a prime (4111021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12255 + ... + 12585.

It is an arithmetic number, because the mean of its divisors is an integer number (139440).

Almost surely, 24111020 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 4111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693120).

4111020 is an abundant number, since it is smaller than the sum of its proper divisors (9275220).

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

4111020 is a wasteful number, since it uses less digits than its factorization.

4111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 4111020 is about 2027.5650421133. The cubic root of 4111020 is about 160.1953343477.

Adding to 4111020 its reverse (201114), we get a palindrome (4312134).

It can be divided in two parts, 411 and 1020, that added together give a triangular number (1431 = T53).

The spelling of 4111020 in words is "four million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 331 345 414 460 540 621 662 690 828 993 1035 1242 1324 1380 1655 1986 2070 2484 2979 3105 3310 3972 4140 4965 5958 6210 6620 7613 8937 9930 11916 12420 14895 15226 17874 19860 22839 29790 30452 35748 38065 44685 45678 59580 68517 76130 89370 91356 114195 137034 152260 178740 205551 228390 274068 342585 411102 456780 685170 822204 1027755 1370340 2055510 4111020