Search a number
-
+
145660928 = 210722903
BaseRepresentation
bin10001010111010…
…01110000000000
3101011002100020012
420223221300000
5244242122203
622242004052
73416045300
oct1053516000
9334070205
10145660928
1175249236
1240946628
132423cbca
14154b9600
15cbc3bd8
hex8ae9c00

145660928 has 66 divisors (see below), whose sum is σ = 338835816. Its totient is φ = 62404608.

The previous prime is 145660903. The next prime is 145660937. The reversal of 145660928 is 829066541.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48725 + ... + 51627.

It is an arithmetic number, because the mean of its divisors is an integer number (5133876).

Almost surely, 2145660928 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 145660928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169417908).

145660928 is an abundant number, since it is smaller than the sum of its proper divisors (193174888).

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

145660928 is an equidigital number, since it uses as much as digits as its factorization.

145660928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 145660928 is about 12069.0069185497. The cubic root of 145660928 is about 526.1557943770.

The spelling of 145660928 in words is "one hundred forty-five million, six hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2903 3136 3584 5806 6272 7168 11612 12544 20321 23224 25088 40642 46448 50176 81284 92896 142247 162568 185792 284494 325136 371584 568988 650272 743168 1137976 1300544 1486336 2275952 2601088 2972672 4551904 5202176 9103808 10404352 18207616 20808704 36415232 72830464 145660928