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145110828 = 223191095839
BaseRepresentation
bin10001010011000…
…11011100101100
3101010001101122010
420221203130230
5244122021303
622222121220
73411264432
oct1051433454
9333041563
10145110828
1174a02a05
1240720210
13240a96c5
14153b4d52
15cb15c03
hex8a6372c

145110828 has 48 divisors (see below), whose sum is σ = 359744000. Its totient is φ = 45396288.

The previous prime is 145110821. The next prime is 145110839. The reversal of 145110828 is 828011541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 145110795 and 145110804.

It is not an unprimeable number, because it can be changed into a prime (145110821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21933 + ... + 27771.

Almost surely, 2145110828 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 145110828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179872000).

145110828 is an abundant number, since it is smaller than the sum of its proper divisors (214633172).

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

145110828 is a wasteful number, since it uses less digits than its factorization.

145110828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 145110828 is about 12046.1955820085. The cubic root of 145110828 is about 525.4926025038.

The spelling of 145110828 in words is "one hundred forty-five million, one hundred ten thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 218 228 327 436 654 1308 2071 4142 5839 6213 8284 11678 12426 17517 23356 24852 35034 70068 110941 221882 332823 443764 636451 665646 1272902 1331292 1909353 2545804 3818706 7637412 12092569 24185138 36277707 48370276 72555414 145110828