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41000160 = 2535229373
BaseRepresentation
bin1001110001100…
…1110011100000
32212011000122110
42130121303200
540444001120
64022435320
71005331665
oct234316340
985130573
1041000160
1121164033
1211892b40
138656b66
145633a6c
1538ed2e0
hex2719ce0

41000160 has 96 divisors (see below), whose sum is σ = 130062240. Its totient is φ = 10856448.

The previous prime is 41000159. The next prime is 41000161. The reversal of 41000160 is 6100014.

It is an interprime number because it is at equal distance from previous prime (41000159) and next prime (41000161).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41000161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109734 + ... + 110106.

It is an arithmetic number, because the mean of its divisors is an integer number (1354815).

Almost surely, 241000160 is an apocalyptic number.

41000160 is a gapful number since it is divisible by the number (40) 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 41000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65031120).

41000160 is an abundant number, since it is smaller than the sum of its proper divisors (89062080).

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

41000160 is a wasteful number, since it uses less digits than its factorization.

41000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 41000160 is about 6403.1367313216. The cubic root of 41000160 is about 344.8221725863.

Adding to 41000160 its reverse (6100014), we get a palindrome (47100174).

The spelling of 41000160 in words is "forty-one million, one hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 229 240 373 458 480 687 746 916 1119 1145 1374 1492 1832 1865 2238 2290 2748 2984 3435 3664 3730 4476 4580 5496 5595 5968 6870 7328 7460 8952 9160 10992 11190 11936 13740 14920 17904 18320 21984 22380 27480 29840 35808 36640 44760 54960 59680 85417 89520 109920 170834 179040 256251 341668 427085 512502 683336 854170 1025004 1281255 1366672 1708340 2050008 2562510 2733344 3416680 4100016 5125020 6833360 8200032 10250040 13666720 20500080 41000160