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41002120 = 2351576529
BaseRepresentation
bin1001110001101…
…0010010001000
32212011010100001
42130122102020
540444031440
64022452344
71005340465
oct234322210
985133301
1041002120
1121165555
12118940b4
138657a13
14563466c
1538edb9a
hex271a488

41002120 has 32 divisors (see below), whose sum is σ = 92856600. Its totient is φ = 16293888.

The previous prime is 41002103. The next prime is 41002141. The reversal of 41002120 is 2120014.

It can be written as a sum of positive squares in 4 ways, for example, as 19342404 + 21659716 = 4398^2 + 4654^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 41002097 and 41002106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3016 + ... + 9544.

Almost surely, 241002120 is an apocalyptic number.

41002120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41002120 is an abundant number, since it is smaller than the sum of its proper divisors (51854480).

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

41002120 is a wasteful number, since it uses less digits than its factorization.

41002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6697 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 41002120 is about 6403.2897794805. The cubic root of 41002120 is about 344.8276672046.

Adding to 41002120 its reverse (2120014), we get a palindrome (43122134).

The spelling of 41002120 in words is "forty-one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 6529 13058 26116 32645 52232 65290 130580 261160 1025053 2050106 4100212 5125265 8200424 10250530 20501060 41002120