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145365064 = 231310713063
BaseRepresentation
bin10001010101000…
…01100001001000
3101010112022101021
420222201201020
5244203140224
622231402224
73413403565
oct1052414110
9333468337
10145365064
1175066a19
1240823374
1324168340
141543d86c
15cb661e4
hex8aa1848

145365064 has 32 divisors (see below), whose sum is σ = 296291520. Its totient is φ = 66459456.

The previous prime is 145365053. The next prime is 145365109. The reversal of 145365064 is 460563541.

It is a super-2 number, since 2×1453650642 = 42262003663448192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4597 + ... + 17659.

It is an arithmetic number, because the mean of its divisors is an integer number (9259110).

Almost surely, 2145365064 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 145365064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148145760).

145365064 is an abundant number, since it is smaller than the sum of its proper divisors (150926456).

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

145365064 is a wasteful number, since it uses less digits than its factorization.

145365064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13189 (or 13185 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 145365064 is about 12056.7435072660. The cubic root of 145365064 is about 525.7993133411.

It can be divided in two parts, 14536 and 5064, that added together give a square (19600 = 1402).

The spelling of 145365064 in words is "one hundred forty-five million, three hundred sixty-five thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 104 107 214 428 856 1391 2782 5564 11128 13063 26126 52252 104504 169819 339638 679276 1358552 1397741 2795482 5590964 11181928 18170633 36341266 72682532 145365064