Search a number
-
+
19530312 = 2332335381
BaseRepresentation
bin100101010000…
…0001001001000
31100202020112220
41022200021020
514444432222
61534334040
7325001454
oct112401110
940666486
1019530312
111002a45a
12665a320
13407a6c9
142845664
151aabb5c
hex12a0248

19530312 has 32 divisors (see below), whose sum is σ = 50950080. Its totient is φ = 6226880.

The previous prime is 19530307. The next prime is 19530317. The reversal of 19530312 is 21303591.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19530307) and next prime (19530317).

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

It is not an unprimeable number, because it can be changed into a prime (19530317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17139 + ... + 18242.

It is an arithmetic number, because the mean of its divisors is an integer number (1592190).

Almost surely, 219530312 is an apocalyptic number.

19530312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19530312 is an abundant number, since it is smaller than the sum of its proper divisors (31419768).

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

19530312 is a wasteful number, since it uses less digits than its factorization.

19530312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35413 (or 35409 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 19530312 is about 4419.3112585560. The cubic root of 19530312 is about 269.3000250175.

The spelling of 19530312 in words is "nineteen million, five hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 35381 70762 106143 141524 212286 283048 424572 813763 849144 1627526 2441289 3255052 4882578 6510104 9765156 19530312