Search a number
-
+
64083840 = 273533377
BaseRepresentation
bin1111010001110…
…1011110000000
311110120210111120
43310131132000
5112401140330
610205312240
71405463232
oct364353600
9143523446
1064083840
11331a0157
1219565680
1310379a42
148722252
15595cc10
hex3d1d780

64083840 has 64 divisors (see below), whose sum is σ = 204273360. Its totient is φ = 17088512.

The previous prime is 64083839. The next prime is 64083869. The reversal of 64083840 is 4838046.

64083840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 14769 + ... + 18608.

Almost surely, 264083840 is an apocalyptic number.

64083840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64083840 is an abundant number, since it is smaller than the sum of its proper divisors (140189520).

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

64083840 is a wasteful number, since it uses less digits than its factorization.

64083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33399 (or 33387 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 64083840 is about 8005.2382850231. The cubic root of 64083840 is about 400.1745904510.

The spelling of 64083840 in words is "sixty-four million, eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 33377 66754 100131 133508 166885 200262 267016 333770 400524 500655 534032 667540 801048 1001310 1068064 1335080 1602096 2002620 2136128 2670160 3204192 4005240 4272256 5340320 6408384 8010480 10680640 12816768 16020960 21361280 32041920 64083840