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16378920 = 2332545497
BaseRepresentation
bin111110011110…
…110000101000
31010211010122200
4332132300220
513143111140
61343020200
7256134645
oct76366050
933733580
1016378920
1192777a8
12559a660
13351618c
142264dcc
151688030
hexf9ec28

16378920 has 48 divisors (see below), whose sum is σ = 53232660. Its totient is φ = 4367616.

The previous prime is 16378913. The next prime is 16378933. The reversal of 16378920 is 2987361.

It can be written as a sum of positive squares in 2 ways, for example, as 15350724 + 1028196 = 3918^2 + 1014^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 22389 + ... + 23108.

Almost surely, 216378920 is an apocalyptic number.

16378920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16378920 is an abundant number, since it is smaller than the sum of its proper divisors (36853740).

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

16378920 is a wasteful number, since it uses less digits than its factorization.

16378920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45514 (or 45507 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 16378920 is about 4047.0878418932. The cubic root of 16378920 is about 253.9579156101.

The spelling of 16378920 in words is "sixteen million, three hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 45497 90994 136491 181988 227485 272982 363976 409473 454970 545964 682455 818946 909940 1091928 1364910 1637892 1819880 2047365 2729820 3275784 4094730 5459640 8189460 16378920