Search a number
-
+
190636032 = 21337757
BaseRepresentation
bin10110101110011…
…10000000000000
3111021201022110210
423113032000000
5342300323112
630525554120
74503244116
oct1327160000
9437638423
10190636032
1198677744
1253a15940
13306590b2
141b465ab6
1511b09b3c
hexb5ce000

190636032 has 56 divisors (see below), whose sum is σ = 508397256. Its totient is φ = 63537152.

The previous prime is 190636013. The next prime is 190636037. The reversal of 190636032 is 230636091.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190636037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20698 + ... + 28454.

Almost surely, 2190636032 is an apocalyptic number.

190636032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190636032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254198628).

190636032 is an abundant number, since it is smaller than the sum of its proper divisors (317761224).

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

190636032 is an frugal number, since it uses more digits than its factorization.

190636032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 190636032 is about 13807.1007818441. The cubic root of 190636032 is about 575.5304815801.

The spelling of 190636032 in words is "one hundred ninety million, six hundred thirty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 7757 8192 12288 15514 23271 24576 31028 46542 62056 93084 124112 186168 248224 372336 496448 744672 992896 1489344 1985792 2978688 3971584 5957376 7943168 11914752 15886336 23829504 31772672 47659008 63545344 95318016 190636032