Search a number
-
+
146497365 = 3257465071
BaseRepresentation
bin10001011101101…
…01111101010101
3101012122211121100
420232311331111
5300000403430
622311540313
73426131010
oct1056657525
9335584540
10146497365
117576a703
124108a699
1324473841
1415656377
15ccdb960
hex8bb5f55

146497365 has 24 divisors (see below), whose sum is σ = 290204928. Its totient is φ = 66970080.

The previous prime is 146497361. The next prime is 146497399. The reversal of 146497365 is 563794641.

It is not a de Polignac number, because 146497365 - 22 = 146497361 is a prime.

It is a super-2 number, since 2×1464973652 = 42922955903886450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 146497365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146497361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232221 + ... + 232850.

It is an arithmetic number, because the mean of its divisors is an integer number (12091872).

Almost surely, 2146497365 is an apocalyptic number.

146497365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146497365 is a deficient number, since it is larger than the sum of its proper divisors (143707563).

146497365 is a wasteful number, since it uses less digits than its factorization.

146497365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465089 (or 465086 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 146497365 is about 12103.6095855740. The cubic root of 146497365 is about 527.1609974904.

The spelling of 146497365 in words is "one hundred forty-six million, four hundred ninety-seven thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 465071 1395213 2325355 3255497 4185639 6976065 9766491 16277485 20928195 29299473 48832455 146497365