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145054332 = 223231592203
BaseRepresentation
bin10001010010101…
…01101001111100
3101002221112010200
420221111221330
5244113214312
622221003500
73410640633
oct1051255174
9332845120
10145054332
1174974515
12406b3590
1324089a87
141539c51a
15cb040dc
hex8a55a7c

145054332 has 72 divisors (see below), whose sum is σ = 385082880. Its totient is φ = 45977760.

The previous prime is 145054297. The next prime is 145054333. The reversal of 145054332 is 233450541.

145054332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145054296 and 145054305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145054333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64743 + ... + 66945.

Almost surely, 2145054332 is an apocalyptic number.

145054332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145054332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192541440).

145054332 is an abundant number, since it is smaller than the sum of its proper divisors (240028548).

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

145054332 is a wasteful number, since it uses less digits than its factorization.

145054332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 145054332 is about 12043.8503810036. The cubic root of 145054332 is about 525.4243969716.

The spelling of 145054332 in words is "one hundred forty-five million, fifty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 93 118 124 177 186 236 279 354 372 531 558 708 1062 1116 1829 2124 2203 3658 4406 5487 6609 7316 8812 10974 13218 16461 19827 21948 26436 32922 39654 65844 68293 79308 129977 136586 204879 259954 273172 389931 409758 519908 614637 779862 819516 1169793 1229274 1559724 2339586 2458548 4029287 4679172 8058574 12087861 16117148 24175722 36263583 48351444 72527166 145054332