Search a number
-
+
190320192 = 263436713
BaseRepresentation
bin10110101100000…
…00111001000000
3111021010021020000
423112000321000
5342210221232
630515120000
74500460236
oct1326007100
9437107200
10190320192
1198481417
12538a3000
13305783ca
141b3c2956
1511a9627c
hexb580e40

190320192 has 70 divisors (see below), whose sum is σ = 564184038. Its totient is φ = 63438336.

The previous prime is 190320187. The next prime is 190320197. The reversal of 190320192 is 291023091.

It is an interprime number because it is at equal distance from previous prime (190320187) and next prime (190320197).

It can be written as a sum of positive squares in only one way, i.e., 183223296 + 7096896 = 13536^2 + 2664^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (190320197) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13173 + ... + 23540.

Almost surely, 2190320192 is an apocalyptic number.

190320192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

190320192 is an abundant number, since it is smaller than the sum of its proper divisors (373863846).

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

190320192 is an equidigital number, since it uses as much as digits as its factorization.

190320192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36737 (or 36718 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 190320192 is about 13795.6584474972. The cubic root of 190320192 is about 575.2124654026.

The spelling of 190320192 in words is "one hundred ninety million, three hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 36713 73426 110139 146852 220278 293704 330417 440556 587408 660834 881112 991251 1174816 1321668 1762224 1982502 2349632 2643336 2973753 3524448 3965004 5286672 5947506 7048896 7930008 10573344 11895012 15860016 21146688 23790024 31720032 47580048 63440064 95160096 190320192