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4141104 = 2431122331
BaseRepresentation
bin1111110011000000110000
321210101112020
433303000300
52030003404
6224431440
750125122
oct17630060
97711466
104141104
112379300
121478580
13b1cb76
1479b212
1556bed9
hex3f3030

4141104 has 120 divisors (see below), whose sum is σ = 12665856. Its totient is φ = 1161600.

The previous prime is 4141091. The next prime is 4141117. The reversal of 4141104 is 4011414.

It is an interprime number because it is at equal distance from previous prime (4141091) and next prime (4141117).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133569 + ... + 133599.

Almost surely, 24141104 is an apocalyptic number.

4141104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332928).

4141104 is an abundant number, since it is smaller than the sum of its proper divisors (8524752).

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

4141104 is a wasteful number, since it uses less digits than its factorization.

4141104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4141104 is about 2034.9702700531. The cubic root of 4141104 is about 160.5851490615.

Adding to 4141104 its reverse (4011414), we get a palindrome (8152518).

The spelling of 4141104 in words is "four million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 31 33 44 46 48 62 66 69 88 92 93 121 124 132 138 176 184 186 242 248 253 264 276 341 363 368 372 484 496 506 528 552 682 713 726 744 759 968 1012 1023 1104 1364 1426 1452 1488 1518 1936 2024 2046 2139 2728 2783 2852 2904 3036 3751 4048 4092 4278 5456 5566 5704 5808 6072 7502 7843 8184 8349 8556 11132 11253 11408 12144 15004 15686 16368 16698 17112 22264 22506 23529 30008 31372 33396 34224 44528 45012 47058 60016 62744 66792 86273 90024 94116 125488 133584 172546 180048 188232 258819 345092 376464 517638 690184 1035276 1380368 2070552 4141104