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145034240 = 2105132179
BaseRepresentation
bin10001010010100…
…00110000000000
3101002220111120112
420221100300000
5244112043430
622220330452
73410525231
oct1051206000
9332814515
10145034240
117496040a
12406a3a28
13240808a0
1415395088
15caed195
hex8a50c00

145034240 has 88 divisors (see below), whose sum is σ = 374846640. Its totient is φ = 53526528.

The previous prime is 145034237. The next prime is 145034273. The reversal of 145034240 is 42430541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65471 + ... + 67649.

Almost surely, 2145034240 is an apocalyptic number.

145034240 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 145034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187423320).

145034240 is an abundant number, since it is smaller than the sum of its proper divisors (229812400).

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

145034240 is a wasteful number, since it uses less digits than its factorization.

145034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 145034240 is about 12043.0162334857. The cubic root of 145034240 is about 525.4001363738.

Adding to 145034240 its reverse (42430541), we get a palindrome (187464781).

The spelling of 145034240 in words is "one hundred forty-five million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2080 2179 2560 3328 4160 4358 5120 6656 8320 8716 10895 13312 16640 17432 21790 28327 33280 34864 43580 56654 66560 69728 87160 113308 139456 141635 174320 226616 278912 283270 348640 453232 557824 566540 697280 906464 1115648 1133080 1394560 1812928 2231296 2266160 2789120 3625856 4532320 5578240 7251712 9064640 11156480 14503424 18129280 29006848 36258560 72517120 145034240