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1993608 = 233227689
BaseRepresentation
bin111100110101110001000
310202021201100
413212232020
51002243413
6110421400
722642161
oct7465610
93667640
101993608
111141911
12801860
1354a566
1439c768
15295a73
hex1e6b88

1993608 has 24 divisors (see below), whose sum is σ = 5399550. Its totient is φ = 664512.

The previous prime is 1993603. The next prime is 1993627. The reversal of 1993608 is 8063991.

1993608 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1954404 + 39204 = 1398^2 + 198^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (1993601) 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 5 ways as a sum of consecutive naturals, for example, 13773 + ... + 13916.

21993608 is an apocalyptic number.

1993608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1993608 is an abundant number, since it is smaller than the sum of its proper divisors (3405942).

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

1993608 is a wasteful number, since it uses less digits than its factorization.

1993608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27701 (or 27694 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1993608 is about 1411.9518405385. The cubic root of 1993608 is about 125.8577381530.

It can be divided in two parts, 1993 and 608, that added together give a square (2601 = 512).

The spelling of 1993608 in words is "one million, nine hundred ninety-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 27689 55378 83067 110756 166134 221512 249201 332268 498402 664536 996804 1993608