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190464 = 211331
BaseRepresentation
bin101110100000000000
3100200021020
4232200000
522043324
64025440
71422201
oct564000
9320236
10190464
1112010a
1292280
1368901
144d5a8
153b679
hex2e800

190464 has 48 divisors (see below), whose sum is σ = 524160. Its totient is φ = 61440.

The previous prime is 190409. The next prime is 190471. The reversal of 190464 is 464091.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

190464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6129 + ... + 6159.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2190464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

190464 is an abundant number, since it is smaller than the sum of its proper divisors (333696).

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

190464 is an equidigital number, since it uses as much as digits as its factorization.

190464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 190464 is about 436.4218143035. The cubic root of 190464 is about 57.5357307852.

The spelling of 190464 in words is "one hundred ninety thousand, four hundred sixty-four".