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6100000040 = 2351015232887
BaseRepresentation
bin1011010111001011…
…01001110100101000
3120202010020002221102
411223211221310220
544443100000130
62445144100532
7304110100451
oct55345516450
916663202842
106100000040
112650322352
121222a64748
13762a0c5a4
1441c200128
1525a7dc645
hex16b969d28

6100000040 has 64 divisors (see below), whose sum is σ = 13892204160. Its totient is φ = 2410387200.

The previous prime is 6100000031. The next prime is 6100000063. The reversal of 6100000040 is 400000016.

It is a junction number, because it is equal to n+sod(n) for n = 6099999967 and 6100000030.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2111477 + ... + 2114363.

It is an arithmetic number, because the mean of its divisors is an integer number (217065690).

Almost surely, 26100000040 is an apocalyptic number.

It is an amenable number.

6100000040 is an abundant number, since it is smaller than the sum of its proper divisors (7792204120).

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

6100000040 is a wasteful number, since it uses less digits than its factorization.

6100000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 6100000040 is about 78102.4970151403. The cubic root of 6100000040 is about 1827.1601408573.

Subtracting from 6100000040 its product of nonzero digits (24), we obtain a palindrome (6100000016).

Adding to 6100000040 its reverse (400000016), we get a palindrome (6500000056).

The spelling of 6100000040 in words is "six billion, one hundred million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 523 808 1010 1046 2020 2092 2615 2887 4040 4184 5230 5774 10460 11548 14435 20920 23096 28870 52823 57740 105646 115480 211292 264115 291587 422584 528230 583174 1056460 1166348 1457935 1509901 2112920 2332696 2915870 3019802 5831740 6039604 7549505 11663480 12079208 15099010 30198020 60396040 152500001 305000002 610000004 762500005 1220000008 1525000010 3050000020 6100000040