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145463016 = 23317794513
BaseRepresentation
bin10001010101110…
…01011011101000
3101010201021202010
420222321123220
5244214304031
622233435520
73414262266
oct1052713350
9333637663
10145463016
1175123576
124086bba0
13241a0aba
1415467436
15cb85246
hex8ab96e8

145463016 has 64 divisors (see below), whose sum is σ = 390009600. Its totient is φ = 45047808.

The previous prime is 145463009. The next prime is 145463029. The reversal of 145463016 is 610364541.

145463016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29976 + ... + 34488.

It is an arithmetic number, because the mean of its divisors is an integer number (6093900).

Almost surely, 2145463016 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 145463016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195004800).

145463016 is an abundant number, since it is smaller than the sum of its proper divisors (244546584).

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

145463016 is a wasteful number, since it uses less digits than its factorization.

145463016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 145463016 is about 12060.8049482611. The cubic root of 145463016 is about 525.9173874026.

The spelling of 145463016 in words is "one hundred forty-five million, four hundred sixty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 204 237 316 408 474 632 948 1343 1896 2686 4029 4513 5372 8058 9026 10744 13539 16116 18052 27078 32232 36104 54156 76721 108312 153442 230163 306884 356527 460326 613768 713054 920652 1069581 1426108 1841304 2139162 2852216 4278324 6060959 8556648 12121918 18182877 24243836 36365754 48487672 72731508 145463016