Search a number
-
+
145007064 = 23331813709
BaseRepresentation
bin10001010010010…
…10000111011000
3101002212010022000
420221022013120
5244110211224
622220001000
73410353056
oct1051120730
9332763260
10145007064
1174941a54
1240690160
13240713c7
14153891d6
15cae50c9
hex8a4a1d8

145007064 has 64 divisors (see below), whose sum is σ = 405132000. Its totient is φ = 48055680.

The previous prime is 145007039. The next prime is 145007081. The reversal of 145007064 is 460700541.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37242 + ... + 40950.

Almost surely, 2145007064 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 145007064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202566000).

145007064 is an abundant number, since it is smaller than the sum of its proper divisors (260124936).

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

145007064 is a wasteful number, since it uses less digits than its factorization.

145007064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 145007064 is about 12041.8878918548. The cubic root of 145007064 is about 525.3673184544.

The spelling of 145007064 in words is "one hundred forty-five million, seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 181 216 362 543 724 1086 1448 1629 2172 3258 3709 4344 4887 6516 7418 9774 11127 13032 14836 19548 22254 29672 33381 39096 44508 66762 89016 100143 133524 200286 267048 400572 671329 801144 1342658 2013987 2685316 4027974 5370632 6041961 8055948 12083922 16111896 18125883 24167844 36251766 48335688 72503532 145007064