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161461944 = 23337106787
BaseRepresentation
bin10011001111110…
…11011010111000
3102020211010011000
421213323122320
5312313240234
624004405000
74000255350
oct1147733270
9366733130
10161461944
1183160826
12460a6760
13275b3017
141762db60
15e295899
hex99fb6b8

161461944 has 64 divisors (see below), whose sum is σ = 512582400. Its totient is φ = 46131552.

The previous prime is 161461939. The next prime is 161461987. The reversal of 161461944 is 449164161.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 161461899 and 161461908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51882 + ... + 54905.

It is an arithmetic number, because the mean of its divisors is an integer number (8009100).

Almost surely, 2161461944 is an apocalyptic number.

161461944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

161461944 is an abundant number, since it is smaller than the sum of its proper divisors (351120456).

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

161461944 is a wasteful number, since it uses less digits than its factorization.

161461944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106809 (or 106799 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 161461944 is about 12706.7676456288. The cubic root of 161461944 is about 544.5319821237.

The spelling of 161461944 in words is "one hundred sixty-one million, four hundred sixty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 106787 213574 320361 427148 640722 747509 854296 961083 1281444 1495018 1922166 2242527 2562888 2883249 2990036 3844332 4485054 5766498 5980072 6727581 7688664 8970108 11532996 13455162 17940216 20182743 23065992 26910324 40365486 53820648 80730972 161461944