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145400535 = 3357251613
BaseRepresentation
bin10001010101010…
…10001011010111
3101010121010001000
420222222023113
5244210304120
622232234343
73413612160
oct1052521327
9333533030
10145400535
1175090635
124083b9b3
132417b527
141544c767
15cb71990
hex8aaa2d7

145400535 has 64 divisors (see below), whose sum is σ = 297077760. Its totient is φ = 66096000.

The previous prime is 145400477. The next prime is 145400543. The reversal of 145400535 is 535004541.

145400535 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145400535 - 26 = 145400471 is a prime.

It is a super-2 number, since 2×1454005352 = 42282631156572450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 145400499 and 145400508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236889 + ... + 237501.

It is an arithmetic number, because the mean of its divisors is an integer number (4641840).

Almost surely, 2145400535 is an apocalyptic number.

145400535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145400535 is an abundant number, since it is smaller than the sum of its proper divisors (151677225).

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

145400535 is a wasteful number, since it uses less digits than its factorization.

145400535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 145400535 is about 12058.2144200541. The cubic root of 145400535 is about 525.8420771941.

The spelling of 145400535 in words is "one hundred forty-five million, four hundred thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 251 315 613 753 945 1255 1757 1839 2259 3065 3765 4291 5271 5517 6777 8785 9195 11295 12873 15813 16551 21455 26355 27585 33885 38619 47439 64365 79065 82755 115857 153863 193095 237195 461589 579285 769315 1077041 1384767 2307945 3231123 4154301 5385205 6923835 9693369 16155615 20771505 29080107 48466845 145400535