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145487016 = 2335671117
BaseRepresentation
bin10001010101111…
…11010010101000
3101010202111200000
420222333102220
5244221041031
622234143000
73414422253
oct1052772250
9333674600
10145487016
117513a604
1240881a60
13241ab9bc
141547209a
15cb8c3e6
hex8abf4a8

145487016 has 96 divisors (see below), whose sum is σ = 415091040. Its totient is φ = 47729088.

The previous prime is 145486967. The next prime is 145487051. The reversal of 145487016 is 610784541.

It is a happy number.

145487016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129690 + ... + 130806.

It is an arithmetic number, because the mean of its divisors is an integer number (4323865).

Almost surely, 2145487016 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 145487016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207545520).

145487016 is an abundant number, since it is smaller than the sum of its proper divisors (269604024).

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

145487016 is a wasteful number, since it uses less digits than its factorization.

145487016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145487016 is about 12061.7998656917. The cubic root of 145487016 is about 525.9463095839.

The spelling of 145487016 in words is "one hundred forty-five million, four hundred eighty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 243 268 324 402 486 536 603 648 804 972 1117 1206 1608 1809 1944 2234 2412 3351 3618 4468 4824 5427 6702 7236 8936 10053 10854 13404 14472 16281 20106 21708 26808 30159 32562 40212 43416 60318 65124 74839 80424 90477 120636 130248 149678 180954 224517 241272 271431 299356 361908 449034 542862 598712 673551 723816 898068 1085724 1347102 1796136 2020653 2171448 2694204 4041306 5388408 6061959 8082612 12123918 16165224 18185877 24247836 36371754 48495672 72743508 145487016