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16213140 = 2232590073
BaseRepresentation
bin111101110110…
…010010010100
31010111201020200
4331312102110
513122310030
61335300500
7254544426
oct75662224
933451220
1016213140
119174199
12551a730
133488898
142220816
151653d60
hexf76494

16213140 has 36 divisors (see below), whose sum is σ = 49180404. Its totient is φ = 4323456.

The previous prime is 16213139. The next prime is 16213147. The reversal of 16213140 is 4131261.

It is a happy number.

16213140 is a `hidden beast` number, since 1 + 621 + 3 + 1 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4186116 + 12027024 = 2046^2 + 3468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16213147) 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 11 ways as a sum of consecutive naturals, for example, 44857 + ... + 45216.

Almost surely, 216213140 is an apocalyptic number.

16213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16213140 is an abundant number, since it is smaller than the sum of its proper divisors (32967264).

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

16213140 is a wasteful number, since it uses less digits than its factorization.

16213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90088 (or 90083 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 16213140 is about 4026.5543582572. The cubic root of 16213140 is about 253.0981928630.

It can be divided in two parts, 1621 and 3140, that added together give a square (4761 = 692).

The spelling of 16213140 in words is "sixteen million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 90073 180146 270219 360292 450365 540438 810657 900730 1080876 1351095 1621314 1801460 2702190 3242628 4053285 5404380 8106570 16213140