Search a number
-
+
145333116 = 2234617727
BaseRepresentation
bin10001010100110…
…01101101111100
3101010110200120000
420222121231330
5244201124431
622230554300
73413211465
oct1052315574
9333420500
10145333116
1175044a15
1240808990
1324156936
1415431d6c
15cb5b9e6
hex8a99b7c

145333116 has 60 divisors (see below), whose sum is σ = 381068688. Its totient is φ = 48299328.

The previous prime is 145333093. The next prime is 145333141. The reversal of 145333116 is 611333541.

145333116 is a `hidden beast` number, since 14 + 533 + 3 + 116 = 666.

It is a super-2 number, since 2×1453331162 = 42243429212538912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145333116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199545 + ... + 200271.

Almost surely, 2145333116 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 145333116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190534344).

145333116 is an abundant number, since it is smaller than the sum of its proper divisors (235735572).

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

145333116 is a wasteful number, since it uses less digits than its factorization.

145333116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1349 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 145333116 is about 12055.4185327594. The cubic root of 145333116 is about 525.7607908636.

Adding to 145333116 its reverse (611333541), we get a palindrome (756666657).

The spelling of 145333116 in words is "one hundred forty-five million, three hundred thirty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 617 727 1234 1454 1851 2181 2468 2908 3702 4362 5553 6543 7404 8724 11106 13086 16659 19629 22212 26172 33318 39258 49977 58887 66636 78516 99954 117774 199908 235548 448559 897118 1345677 1794236 2691354 4037031 5382708 8074062 12111093 16148124 24222186 36333279 48444372 72666558 145333116