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145374054 = 23719672719
BaseRepresentation
bin10001010101000…
…11101101100110
3101010112202201020
420222203231212
5244203432204
622231512010
73413442030
oct1052435546
9333482636
10145374054
1175072751
1240828606
132416c467
1415442c50
15cb68bd9
hex8aa3b66

145374054 has 64 divisors (see below), whose sum is σ = 355123200. Its totient is φ = 38747808.

The previous prime is 145374043. The next prime is 145374079. The reversal of 145374054 is 450473541.

145374054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453740542 = 42267231152789832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52107 + ... + 54825.

It is an arithmetic number, because the mean of its divisors is an integer number (5548800).

Almost surely, 2145374054 is an apocalyptic number.

145374054 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 145374054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177561600).

145374054 is an abundant number, since it is smaller than the sum of its proper divisors (209749146).

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

145374054 is a wasteful number, since it uses less digits than its factorization.

145374054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817.

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 145374054 is about 12057.1163219072. The cubic root of 145374054 is about 525.8101523471.

The spelling of 145374054 in words is "one hundred forty-five million, three hundred seventy-four thousand, fifty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 67 114 133 134 201 266 399 402 469 798 938 1273 1407 2546 2719 2814 3819 5438 7638 8157 8911 16314 17822 19033 26733 38066 51661 53466 57099 103322 114198 154983 182173 309966 361627 364346 546519 723254 1084881 1093038 1275211 2169762 2550422 3461287 3825633 6922574 7651266 10383861 20767722 24229009 48458018 72687027 145374054