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19002132 = 22323117027
BaseRepresentation
bin100100001111…
…1001100010100
31022202102000200
41020133030110
514331032012
61515140500
7320341542
oct110371424
938672020
1019002132
11a7a9646
126444730
133c24186
142748d92
151a053dc
hex121f314

19002132 has 36 divisors (see below), whose sum is σ = 49585536. Its totient is φ = 6129360.

The previous prime is 19002131. The next prime is 19002167. The reversal of 19002132 is 23120091.

It is a happy number.

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

It is a super-2 number, since 2×190021322 = 722162041090848, which contains 22 as substring.

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 (19002131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7398 + ... + 9629.

It is an arithmetic number, because the mean of its divisors is an integer number (1377376).

Almost surely, 219002132 is an apocalyptic number.

19002132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19002132 is an abundant number, since it is smaller than the sum of its proper divisors (30583404).

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

19002132 is a wasteful number, since it uses less digits than its factorization.

19002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17068 (or 17063 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 19002132 is about 4359.1434938529. The cubic root of 19002132 is about 266.8501452573.

The spelling of 19002132 in words is "nineteen million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 17027 34054 51081 68108 102162 153243 204324 306486 527837 612972 1055674 1583511 2111348 3167022 4750533 6334044 9501066 19002132