Search a number
-
+
91441920 = 283523813
BaseRepresentation
bin1010111001101…
…00101100000000
320101001201201210
411130310230000
5141402120140
613023530120
72160146343
oct534645400
9211051653
1091441920
1147686739
1226759940
1315c3835b
14c20445a
158063d80
hex5734b00

91441920 has 72 divisors (see below), whose sum is σ = 292054896. Its totient is φ = 24383488.

The previous prime is 91441919. The next prime is 91441937. The reversal of 91441920 is 2914419.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 8067 + ... + 15746.

It is an arithmetic number, because the mean of its divisors is an integer number (4056318).

Almost surely, 291441920 is an apocalyptic number.

It is an amenable number.

91441920 is an abundant number, since it is smaller than the sum of its proper divisors (200612976).

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

91441920 is a wasteful number, since it uses less digits than its factorization.

91441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23837 (or 23823 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 91441920 is about 9562.5268627074. The cubic root of 91441920 is about 450.5210754026.

The spelling of 91441920 in words is "ninety-one million, four hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 23813 47626 71439 95252 119065 142878 190504 238130 285756 357195 381008 476260 571512 714390 762016 952520 1143024 1428780 1524032 1905040 2286048 2857560 3048064 3810080 4572096 5715120 6096128 7620160 9144192 11430240 15240320 18288384 22860480 30480640 45720960 91441920