Search a number
-
+
146764536 = 23317615897
BaseRepresentation
bin10001011111101…
…11001011111000
3101020011102002120
420233313023320
5300032431121
622321401240
73431322642
oct1057671370
9336142076
10146764536
1175932406
1241199220
1324538329
14156c5892
15cd40bc6
hex8bf72f8

146764536 has 64 divisors (see below), whose sum is σ = 394930080. Its totient is φ = 45281280.

The previous prime is 146764489. The next prime is 146764549. The reversal of 146764536 is 635467641.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21940 + ... + 27836.

Almost surely, 2146764536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146764536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197465040).

146764536 is an abundant number, since it is smaller than the sum of its proper divisors (248165544).

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

146764536 is a wasteful number, since it uses less digits than its factorization.

146764536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984 (or 5980 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 146764536 is about 12114.6413896574. The cubic root of 146764536 is about 527.4812685486.

The spelling of 146764536 in words is "one hundred forty-six million, seven hundred sixty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 366 408 488 732 1037 1464 2074 3111 4148 5897 6222 8296 11794 12444 17691 23588 24888 35382 47176 70764 100249 141528 200498 300747 359717 400996 601494 719434 801992 1079151 1202988 1438868 2158302 2405976 2877736 4316604 6115189 8633208 12230378 18345567 24460756 36691134 48921512 73382268 146764536