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145610040 = 23354328219
BaseRepresentation
bin10001010110111…
…01010100111000
3101010222202102110
420223131110320
5244234010130
622240532320
73415444032
oct1053352470
9333882373
10145610040
1175213a84
12409210a0
13242229b4
14154a4c52
15cbb3ab0
hex8add538

145610040 has 64 divisors (see below), whose sum is σ = 447004800. Its totient is φ = 37924992.

The previous prime is 145610021. The next prime is 145610051. The reversal of 145610040 is 40016541.

145610040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145609989 and 145610016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8950 + ... + 19269.

It is an arithmetic number, because the mean of its divisors is an integer number (6984450).

Almost surely, 2145610040 is an apocalyptic number.

145610040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145610040 is an abundant number, since it is smaller than the sum of its proper divisors (301394760).

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

145610040 is a wasteful number, since it uses less digits than its factorization.

145610040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28276 (or 28272 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 145610040 is about 12066.8985244760. The cubic root of 145610040 is about 526.0945147668.

Adding to 145610040 its reverse (40016541), we get a palindrome (185626581).

The spelling of 145610040 in words is "one hundred forty-five million, six hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 28219 56438 84657 112876 141095 169314 225752 282190 338628 423285 564380 677256 846570 1128760 1213417 1693140 2426834 3386280 3640251 4853668 6067085 7280502 9707336 12134170 14561004 18201255 24268340 29122008 36402510 48536680 72805020 145610040