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190430532 = 223217615101
BaseRepresentation
bin10110101100110…
…11110101000100
3111021022212120200
423112123311010
5342222234112
630521330500
74501430025
oct1326336504
9437285520
10190430532
1198547306
1253936a30
13305b66b6
141b410c4c
1511ab8cdc
hexb59bd44

190430532 has 72 divisors (see below), whose sum is σ = 518138712. Its totient is φ = 58752000.

The previous prime is 190430519. The next prime is 190430533. The reversal of 190430532 is 235034091.

190430532 is a `hidden beast` number, since 1 + 90 + 43 + 0 + 532 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3944196 + 186486336 = 1986^2 + 13656^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 190430496 and 190430505.

It is not an unprimeable number, because it can be changed into a prime (190430533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34782 + ... + 39882.

It is an arithmetic number, because the mean of its divisors is an integer number (7196371).

Almost surely, 2190430532 is an apocalyptic number.

190430532 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 190430532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259069356).

190430532 is an abundant number, since it is smaller than the sum of its proper divisors (327708180).

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

190430532 is a wasteful number, since it uses less digits than its factorization.

190430532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 190430532 is about 13799.6569522579. The cubic root of 190430532 is about 575.3236056187.

The spelling of 190430532 in words is "one hundred ninety million, four hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 2074 2196 3111 4148 5101 6222 9333 10202 12444 15303 18666 20404 30606 37332 45909 61212 86717 91818 173434 183636 260151 311161 346868 520302 622322 780453 933483 1040604 1244644 1560906 1866966 2800449 3121812 3733932 5289737 5600898 10579474 11201796 15869211 21158948 31738422 47607633 63476844 95215266 190430532