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145291104 = 2533724023
BaseRepresentation
bin10001010100011…
…11011101100000
3101010101112221000
420222033131200
5244143303404
622230032000
73412645140
oct1052173540
9333345830
10145291104
11750163a2
12407a8600
132414078a
1415420920
15cb4e339
hex8a8f760

145291104 has 96 divisors (see below), whose sum is σ = 484323840. Its totient is φ = 41510016.

The previous prime is 145291067. The next prime is 145291117. The reversal of 145291104 is 401192541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1452911042 = 42219009803077632, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5964 + ... + 18059.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2145291104 is an apocalyptic number.

145291104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145291104 is an abundant number, since it is smaller than the sum of its proper divisors (339032736).

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

145291104 is a wasteful number, since it uses less digits than its factorization.

145291104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24049 (or 24035 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 145291104 is about 12053.6759538325. The cubic root of 145291104 is about 525.7101247533.

The spelling of 145291104 in words is "one hundred forty-five million, two hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 24023 48046 72069 96092 144138 168161 192184 216207 288276 336322 384368 432414 504483 576552 648621 672644 768736 864828 1008966 1153104 1297242 1345288 1513449 1729656 2017932 2306208 2594484 2690576 3026898 3459312 4035864 4540347 5188968 5381152 6053796 6918624 8071728 9080694 10377936 12107592 16143456 18161388 20755872 24215184 36322776 48430368 72645552 145291104