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19854144 = 263234469
BaseRepresentation
bin100101110111…
…1001101000000
31101100200202200
41023233031000
520040313034
61545313200
7330520542
oct113571500
941320680
1019854144
1110230792
126795800
134161c1b
1428cb692
151b22a99
hex12ef340

19854144 has 42 divisors (see below), whose sum is σ = 56909970. Its totient is φ = 6617856.

The previous prime is 19854139. The next prime is 19854157. The reversal of 19854144 is 44145891.

It can be written as a sum of positive squares in only one way, i.e., 17640000 + 2214144 = 4200^2 + 1488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19854099 and 19854108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16659 + ... + 17810.

Almost surely, 219854144 is an apocalyptic number.

It is an amenable number.

19854144 is an abundant number, since it is smaller than the sum of its proper divisors (37055826).

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

19854144 is a wasteful number, since it uses less digits than its factorization.

19854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34487 (or 34474 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 19854144 is about 4455.7989182637. The cubic root of 19854144 is about 270.7802942343.

The spelling of 19854144 in words is "nineteen million, eight hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 34469 68938 103407 137876 206814 275752 310221 413628 551504 620442 827256 1103008 1240884 1654512 2206016 2481768 3309024 4963536 6618048 9927072 19854144