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146803068 = 22324077863
BaseRepresentation
bin10001100000000…
…00100101111100
3101020020100221200
420300000211330
5300040144233
622322255500
73431543166
oct1060004574
9336210850
10146803068
1175959355
12411b7590
132454ca29
14156d5936
15cd4c313
hex8c0097c

146803068 has 18 divisors (see below), whose sum is σ = 371085624. Its totient is φ = 48934344.

The previous prime is 146803067. The next prime is 146803103. The reversal of 146803068 is 860308641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1468030682 = 43102281548425248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4077863 = 146803068 / (1 + 4 + 6 + 8 + 0 + 3 + 0 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146803061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2038896 + ... + 2038967.

It is an arithmetic number, because the mean of its divisors is an integer number (20615868).

Almost surely, 2146803068 is an apocalyptic number.

146803068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146803068 is an abundant number, since it is smaller than the sum of its proper divisors (224282556).

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

146803068 is a wasteful number, since it uses less digits than its factorization.

146803068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077873 (or 4077868 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146803068 is about 12116.2315923723. The cubic root of 146803068 is about 527.5274266790.

The spelling of 146803068 in words is "one hundred forty-six million, eight hundred three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 4077863 8155726 12233589 16311452 24467178 36700767 48934356 73401534 146803068