Search a number
-
+
145001415 = 35131723183
BaseRepresentation
bin10001010010010…
…00101111000111
3101002211211112210
420221020233013
5244110021130
622215514503
73410330436
oct1051105707
9332754483
10145001415
1174938789
1240688a33
132406b970
141538711d
15cae35b0
hex8a48bc7

145001415 has 96 divisors (see below), whose sum is σ = 277272576. Its totient is φ = 64235520.

The previous prime is 145001413. The next prime is 145001429. The reversal of 145001415 is 514100541.

It is not a de Polignac number, because 145001415 - 21 = 145001413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145001391 and 145001400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145001413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1746964 + ... + 1747046.

It is an arithmetic number, because the mean of its divisors is an integer number (2888256).

Almost surely, 2145001415 is an apocalyptic number.

145001415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

145001415 is a deficient number, since it is larger than the sum of its proper divisors (132271161).

145001415 is a wasteful number, since it uses less digits than its factorization.

145001415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 145001415 is about 12041.6533333260. The cubic root of 145001415 is about 525.3604961694.

Adding to 145001415 its reverse (514100541), we get a palindrome (659101956).

The spelling of 145001415 in words is "one hundred forty-five million, one thousand, four hundred fifteen".

Divisors: 1 3 5 13 15 17 31 39 51 65 83 85 93 155 195 221 249 255 289 403 415 465 527 663 867 1079 1105 1209 1245 1411 1445 1581 2015 2573 2635 3237 3315 3757 4233 4335 5395 6045 6851 7055 7719 7905 8959 11271 12865 16185 18343 18785 20553 21165 23987 26877 33449 34255 38595 43741 44795 55029 56355 71961 91715 100347 102765 116467 119935 131223 134385 167245 218705 275145 311831 349401 359805 501735 568633 582335 656115 743597 935493 1559155 1705899 1747005 2230791 2843165 3717985 4677465 8529495 9666761 11153955 29000283 48333805 145001415