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842061920 = 2557751841
BaseRepresentation
bin110010001100001…
…101100001100000
32011200111011210112
4302030031201200
53211031440140
6215320150452
726603260010
oct6214154140
92150434715
10842061920
113a235a647
121b6008428
131055bc0bb
147db97c40
154ddd4c65
hex3230d860

842061920 has 48 divisors (see below), whose sum is σ = 2273570208. Its totient is φ = 288706560.

The previous prime is 842061911. The next prime is 842061923. The reversal of 842061920 is 29160248.

It is a super-3 number, since 3×8420619203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842061923) 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 7 ways as a sum of consecutive naturals, for example, 374801 + ... + 377040.

It is an arithmetic number, because the mean of its divisors is an integer number (47366046).

Almost surely, 2842061920 is an apocalyptic number.

842061920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842061920 is an abundant number, since it is smaller than the sum of its proper divisors (1431508288).

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

842061920 is a wasteful number, since it uses less digits than its factorization.

842061920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751863 (or 751855 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 842061920 is about 29018.3031895388. The cubic root of 842061920 is about 944.3101896463.

The spelling of 842061920 in words is "eight hundred forty-two million, sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 751841 1503682 3007364 3759205 5262887 6014728 7518410 10525774 12029456 15036820 21051548 24058912 26314435 30073640 42103096 52628870 60147280 84206192 105257740 120294560 168412384 210515480 421030960 842061920