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145601001 = 327213109233
BaseRepresentation
bin10001010110110…
…11000111101001
3101010222022000200
420223123013221
5244233213001
622240422413
73415405500
oct1053330751
9333868020
10145601001
1175208207
1240917a09
132421b850
14154a1837
15cbb1086
hex8adb1e9

145601001 has 72 divisors (see below), whose sum is σ = 267026760. Its totient is φ = 75769344.

The previous prime is 145600979. The next prime is 145601021. The reversal of 145601001 is 100106541.

145601001 is a `hidden beast` number, since 1 + 4 + 560 + 100 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2822400 + 142778601 = 1680^2 + 11949^2 .

It is not a de Polignac number, because 145601001 - 211 = 145598953 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145601021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 624781 + ... + 625013.

It is an arithmetic number, because the mean of its divisors is an integer number (3708705).

Almost surely, 2145601001 is an apocalyptic number.

It is an amenable number.

145601001 is a deficient number, since it is larger than the sum of its proper divisors (121425759).

145601001 is a wasteful number, since it uses less digits than its factorization.

145601001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 145601001 is about 12066.5239816610. The cubic root of 145601001 is about 526.0836284599.

Adding to 145601001 its reverse (100106541), we get a palindrome (245707542).

The spelling of 145601001 in words is "one hundred forty-five million, six hundred one thousand, one".

Divisors: 1 3 7 9 13 21 39 49 63 91 109 117 147 233 273 327 441 637 699 763 819 981 1417 1631 1911 2097 2289 3029 4251 4893 5341 5733 6867 9087 9919 11417 12753 14679 16023 21203 25397 27261 29757 34251 48069 63609 69433 76191 89271 102753 148421 177779 190827 208299 228573 330161 445263 533337 624897 990483 1244453 1335789 1600011 2311127 2971449 3733359 6933381 11200077 16177889 20800143 48533667 145601001