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2093904 = 243337131
BaseRepresentation
bin111111111001101010000
310221101022000
413333031100
51014001104
6112514000
723540451
oct7771520
93841260
102093904
1112001aa
1284b900
135840c7
143c7128
152b5639
hex1ff350

2093904 has 80 divisors (see below), whose sum is σ = 6219840. Its totient is φ = 673920.

The previous prime is 2093893. The next prime is 2093929. The reversal of 2093904 is 4093902.

It is a super-2 number, since 2×20939042 = 8768867922432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15919 + ... + 16049.

It is an arithmetic number, because the mean of its divisors is an integer number (77748).

22093904 is an apocalyptic number.

2093904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2093904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109920).

2093904 is an abundant number, since it is smaller than the sum of its proper divisors (4125936).

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

2093904 is a wasteful number, since it uses less digits than its factorization.

2093904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2093904 is about 1447.0328261653. The cubic root of 2093904 is about 127.9338851269.

The spelling of 2093904 in words is "two million, ninety-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 131 144 148 216 222 262 296 333 393 432 444 524 592 666 786 888 999 1048 1179 1332 1572 1776 1998 2096 2358 2664 3144 3537 3996 4716 4847 5328 6288 7074 7992 9432 9694 14148 14541 15984 18864 19388 28296 29082 38776 43623 56592 58164 77552 87246 116328 130869 174492 232656 261738 348984 523476 697968 1046952 2093904