Search a number
-
+
145614105 = 365713439
BaseRepresentation
bin10001010110111…
…10010100011001
3101010222222000000
420223132110121
5244234122410
622241003213
73415461630
oct1053362431
9333888000
10145614105
117521703a
1240923509
13242247c0
14154a6517
15cbb4dc0
hex8ade519

145614105 has 112 divisors (see below), whose sum is σ = 323178240. Its totient is φ = 61305984.

The previous prime is 145614103. The next prime is 145614107. The reversal of 145614105 is 501416541.

145614105 is a `hidden beast` number, since 1 + 45 + 614 + 1 + 0 + 5 = 666.

145614105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145614103) and next prime (145614107).

It is not a de Polignac number, because 145614105 - 21 = 145614103 is a prime.

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

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145614101) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 331476 + ... + 331914.

It is an arithmetic number, because the mean of its divisors is an integer number (2885520).

Almost surely, 2145614105 is an apocalyptic number.

145614105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145614105 is an abundant number, since it is smaller than the sum of its proper divisors (177564135).

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

145614105 is an equidigital number, since it uses as much as digits as its factorization.

145614105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 145614105 is about 12067.0669592905. The cubic root of 145614105 is about 526.0994103868.

The spelling of 145614105 in words is "one hundred forty-five million, six hundred fourteen thousand, one hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 243 273 315 351 405 439 455 567 585 729 819 945 1053 1215 1317 1365 1701 1755 2195 2457 2835 3073 3159 3645 3951 4095 5103 5265 5707 6585 7371 8505 9219 9477 11853 12285 15365 15795 17121 19755 22113 25515 27657 28535 35559 36855 39949 46095 47385 51363 59265 66339 82971 85605 106677 110565 119847 138285 154089 177795 199745 248913 256815 320031 331695 359541 414855 462267 533385 599235 746739 770445 1078623 1244565 1386801 1600155 1797705 2240217 2311335 3235869 3733695 4160403 5393115 6934005 9707607 11201085 16179345 20802015 29122821 48538035 145614105