Search a number
-
+
145311054 = 23729532251
BaseRepresentation
bin10001010100101…
…00010101001110
3101010102120021220
420222110111032
5244144423204
622230304210
73413060250
oct1052242516
9333376256
10145311054
117502a389
12407b8066
1324149895
1415427cd0
15cb551d9
hex8a9454e

145311054 has 64 divisors (see below), whose sum is σ = 350231040. Its totient is φ = 39312000.

The previous prime is 145310989. The next prime is 145311059. The reversal of 145311054 is 450113541.

It is a happy number.

It is a super-2 number, since 2×1453110542 = 42230604829181832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145311059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63429 + ... + 65679.

It is an arithmetic number, because the mean of its divisors is an integer number (5472360).

Almost surely, 2145311054 is an apocalyptic number.

145311054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145311054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175115520).

145311054 is an abundant number, since it is smaller than the sum of its proper divisors (204919986).

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

145311054 is a wasteful number, since it uses less digits than its factorization.

145311054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 145311054 is about 12054.5034738060. The cubic root of 145311054 is about 525.7341854991.

Adding to 145311054 its reverse (450113541), we get a palindrome (595424595).

The spelling of 145311054 in words is "one hundred forty-five million, three hundred eleven thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 29 42 53 58 87 106 159 174 203 318 371 406 609 742 1113 1218 1537 2226 2251 3074 4502 4611 6753 9222 10759 13506 15757 21518 31514 32277 47271 64554 65279 94542 119303 130558 195837 238606 357909 391674 456953 715818 835121 913906 1370859 1670242 2505363 2741718 3459787 5010726 6919574 10379361 20758722 24218509 48437018 72655527 145311054