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145310544 = 2433379091
BaseRepresentation
bin10001010100101…
…00001101010000
3101010102112121000
420222110031100
5244144414134
622230302000
73413055621
oct1052241520
9333375530
10145310544
1175029a65
12407b7900
1324149592
1415427a48
15cb54e99
hex8a94350

145310544 has 80 divisors (see below), whose sum is σ = 428415040. Its totient is φ = 47122560.

The previous prime is 145310533. The next prime is 145310551. The reversal of 145310544 is 445013541.

It is a happy number.

It is a super-2 number, since 2×1453105442 = 42230308395151872, which contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11439 + ... + 20529.

It is an arithmetic number, because the mean of its divisors is an integer number (5355188).

Almost surely, 2145310544 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 145310544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214207520).

145310544 is an abundant number, since it is smaller than the sum of its proper divisors (283104496).

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

145310544 is a wasteful number, since it uses less digits than its factorization.

145310544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9145 (or 9133 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 145310544 is about 12054.4823198676. The cubic root of 145310544 is about 525.7335704398.

The spelling of 145310544 in words is "one hundred forty-five million, three hundred ten thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3996 5328 7992 9091 15984 18182 27273 36364 54546 72728 81819 109092 145456 163638 218184 245457 327276 336367 436368 490914 654552 672734 981828 1009101 1309104 1345468 1963656 2018202 2690936 3027303 3927312 4036404 5381872 6054606 8072808 9081909 12109212 16145616 18163818 24218424 36327636 48436848 72655272 145310544