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146142633 = 37131075003
BaseRepresentation
bin10001011010111…
…11010110101001
3101011222211000010
420231133112221
5244403031013
622300202133
73423122550
oct1055372651
9334884003
10146142633
117554813a
1240b39349
132437b240
14155a2d97
15cc6b7c3
hex8b5f5a9

146142633 has 32 divisors (see below), whose sum is σ = 242113536. Its totient is φ = 76350528.

The previous prime is 146142617. The next prime is 146142643. The reversal of 146142633 is 336241641.

It is not a de Polignac number, because 146142633 - 24 = 146142617 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 146142633.

It is not an unprimeable number, because it can be changed into a prime (146142643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26710 + ... + 31712.

It is an arithmetic number, because the mean of its divisors is an integer number (7566048).

Almost surely, 2146142633 is an apocalyptic number.

146142633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

146142633 is a deficient number, since it is larger than the sum of its proper divisors (95970903).

146142633 is a wasteful number, since it uses less digits than its factorization.

146142633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133.

The product of its digits is 10368, while the sum is 30.

The square root of 146142633 is about 12088.9467283134. The cubic root of 146142633 is about 526.7351604469.

The spelling of 146142633 in words is "one hundred forty-six million, one hundred forty-two thousand, six hundred thirty-three".

Divisors: 1 3 7 13 21 39 91 107 273 321 749 1391 2247 4173 5003 9737 15009 29211 35021 65039 105063 195117 455273 535321 1365819 1605963 3747247 6959173 11241741 20877519 48714211 146142633