Search a number
-
+
145096768 = 2617197019
BaseRepresentation
bin10001010011000…
…00000001000000
3101010000200100101
420221200001000
5244121044033
622221532144
73411205435
oct1051400100
9333020311
10145096768
11749a3393
1240714054
13240a319b
14153adb8c
15cb1197d
hex8a60040

145096768 has 56 divisors (see below), whose sum is σ = 320954400. Its totient is φ = 64677888.

The previous prime is 145096759. The next prime is 145096769. The reversal of 145096768 is 867690541.

It is not an unprimeable number, because it can be changed into a prime (145096769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17163 + ... + 24181.

Almost surely, 2145096768 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 145096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160477200).

145096768 is an abundant number, since it is smaller than the sum of its proper divisors (175857632).

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

145096768 is a wasteful number, since it uses less digits than its factorization.

145096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7067 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 145096768 is about 12045.6119811324. The cubic root of 145096768 is about 525.4756300405.

The spelling of 145096768 in words is "one hundred forty-five million, ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 304 323 544 608 646 1088 1216 1292 2584 5168 7019 10336 14038 20672 28076 56152 112304 119323 133361 224608 238646 266722 449216 477292 533444 954584 1066888 1909168 2133776 2267137 3818336 4267552 4534274 7636672 8535104 9068548 18137096 36274192 72548384 145096768