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2106614040 = 233517555117
BaseRepresentation
bin111110110010000…
…0110000100011000
312102210222002012020
41331210012010120
513303243122130
6545012014440
7103126631616
oct17544060430
95383862166
102106614040
11991146343
124a9601420
132775954ab
1415dacc6b6
15c4e21e10
hex7d906118

2106614040 has 32 divisors (see below), whose sum is σ = 6319842480. Its totient is φ = 561763712.

The previous prime is 2106614039. The next prime is 2106614047. The reversal of 2106614040 is 404166012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2106614040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106614047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8777439 + ... + 8777678.

Almost surely, 22106614040 is an apocalyptic number.

2106614040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106614040 is an abundant number, since it is smaller than the sum of its proper divisors (4213228440).

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

2106614040 is a wasteful number, since it uses less digits than its factorization.

2106614040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17555131 (or 17555127 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2106614040 is about 45897.8653098377. The cubic root of 2106614040 is about 1281.9221690106.

The spelling of 2106614040 in words is "two billion, one hundred six million, six hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17555117 35110234 52665351 70220468 87775585 105330702 140440936 175551170 210661404 263326755 351102340 421322808 526653510 702204680 1053307020 2106614040