Search a number
-
+
145016512 = 2619313847
BaseRepresentation
bin10001010010011…
…00011011000000
3101002212121020221
420221030123000
5244111012022
622220112424
73410422444
oct1051143300
9332777227
10145016512
1174949063
1240695714
13240757b4
141538c824
15cae7cc7
hex8a4c6c0

145016512 has 56 divisors (see below), whose sum is σ = 312765440. Its totient is φ = 66458880.

The previous prime is 145016497. The next prime is 145016519. The reversal of 145016512 is 215610541.

It is a happy number.

It is a super-2 number, since 2×1450165122 = 42059577505292288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145016519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35773 + ... + 39619.

Almost surely, 2145016512 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 145016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156382720).

145016512 is an abundant number, since it is smaller than the sum of its proper divisors (167748928).

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

145016512 is a wasteful number, since it uses less digits than its factorization.

145016512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 145016512 is about 12042.2801827561. The cubic root of 145016512 is about 525.3787283873.

The spelling of 145016512 in words is "one hundred forty-five million, sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 152 248 304 496 589 608 992 1178 1216 1984 2356 3847 4712 7694 9424 15388 18848 30776 37696 61552 73093 119257 123104 146186 238514 246208 292372 477028 584744 954056 1169488 1908112 2265883 2338976 3816224 4531766 4677952 7632448 9063532 18127064 36254128 72508256 145016512