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145105140 = 223514916231
BaseRepresentation
bin10001010011000…
…10000011110100
3101010001002211110
420221202003310
5244121331030
622222035020
73411242025
oct1051420364
9333032743
10145105140
11749a9704
1240718a70
13240a6c3b
14153b2c4c
15cb141b0
hex8a620f4

145105140 has 48 divisors (see below), whose sum is σ = 409046400. Its totient is φ = 38432640.

The previous prime is 145105133. The next prime is 145105151. The reversal of 145105140 is 41501541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825 + ... + 17055.

It is an arithmetic number, because the mean of its divisors is an integer number (8521800).

Almost surely, 2145105140 is an apocalyptic number.

145105140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145105140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204523200).

145105140 is an abundant number, since it is smaller than the sum of its proper divisors (263941260).

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

145105140 is a wasteful number, since it uses less digits than its factorization.

145105140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16392 (or 16390 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 145105140 is about 12045.9594885588. The cubic root of 145105140 is about 525.4857363932.

Adding to 145105140 its reverse (41501541), we get a palindrome (186606681).

The spelling of 145105140 in words is "one hundred forty-five million, one hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940 16231 32462 48693 64924 81155 97386 162310 194772 243465 324620 486930 973860 2418419 4836838 7255257 9673676 12092095 14510514 24184190 29021028 36276285 48368380 72552570 145105140