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1900116 = 2232471123
BaseRepresentation
bin111001111111001010100
310120112110200
413033321110
5441300431
6104420500
722102461
oct7177124
93515420
101900116
111088649
12777730
13516b3a
14376668
15277ee6
hex1cfe54

1900116 has 36 divisors (see below), whose sum is σ = 4909632. Its totient is φ = 619344.

The previous prime is 1900111. The next prime is 1900121. The reversal of 1900116 is 6110091.

It is an interprime number because it is at equal distance from previous prime (1900111) and next prime (1900121).

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

It is a super-2 number, since 2×19001162 = 7220881626912, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900111) 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, 1131 + ... + 2253.

21900116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454816).

1900116 is an abundant number, since it is smaller than the sum of its proper divisors (3009516).

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

1900116 is a wasteful number, since it uses less digits than its factorization.

1900116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1900116 is about 1378.4469521893. The cubic root of 1900116 is about 123.8587534947.

It can be divided in two parts, 1900 and 116, that added together give a triangular number (2016 = T63).

The spelling of 1900116 in words is "one million, nine hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1123 1692 2246 3369 4492 6738 10107 13476 20214 40428 52781 105562 158343 211124 316686 475029 633372 950058 1900116