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19031418 = 23271311153
BaseRepresentation
bin100100010011…
…0010101111010
31022210220012100
41020212111322
514333001133
61515524230
7320523120
oct110462572
938726170
1019031418
11a81964a
126459676
133c345c3
142755910
151a0de13
hex122657a

19031418 has 48 divisors (see below), whose sum is σ = 47526336. Its totient is φ = 5391360.

The previous prime is 19031377. The next prime is 19031423. The reversal of 19031418 is 81413091.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 19031391 and 19031400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15930 + ... + 17082.

It is an arithmetic number, because the mean of its divisors is an integer number (990132).

Almost surely, 219031418 is an apocalyptic number.

19031418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19031418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23763168).

19031418 is an abundant number, since it is smaller than the sum of its proper divisors (28494918).

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

19031418 is a wasteful number, since it uses less digits than its factorization.

19031418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 19031418 is about 4362.5013467047. The cubic root of 19031418 is about 266.9871643032.

It can be divided in two parts, 1903 and 1418, that added together give a triangular number (3321 = T81).

The spelling of 19031418 in words is "nineteen million, thirty-one thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1153 1179 1834 2306 2358 2751 3459 5502 6918 8071 8253 10377 16142 16506 20754 24213 48426 72639 145278 151043 302086 453129 906258 1057301 1359387 2114602 2718774 3171903 6343806 9515709 19031418