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145868541 = 37213372063
BaseRepresentation
bin10001011000111…
…00011011111101
3101011110220000120
420230130123331
5244320243131
622250245153
73420601500
oct1054343375
9334426016
10145868541
1175380215
1240a267b9
13242b3560
1415531137
15cc15496
hex8b1c6fd

145868541 has 48 divisors (see below), whose sum is σ = 250354944. Its totient is φ = 74825856.

The previous prime is 145868539. The next prime is 145868573.

145868541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145868541 - 21 = 145868539 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145868493 and 145868502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145868531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69676 + ... + 71738.

It is an arithmetic number, because the mean of its divisors is an integer number (5215728).

Almost surely, 2145868541 is an apocalyptic number.

It is an amenable number.

145868541 is a deficient number, since it is larger than the sum of its proper divisors (104486403).

145868541 is a wasteful number, since it uses less digits than its factorization.

145868541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2123 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 145868541 is about 12077.6049364102. The cubic root of 145868541 is about 526.4056553074.

The spelling of 145868541 in words is "one hundred forty-five million, eight hundred sixty-eight thousand, five hundred forty-one".

Divisors: 1 3 7 13 21 37 39 49 91 111 147 259 273 481 637 777 1443 1813 1911 2063 3367 5439 6189 10101 14441 23569 26819 43323 70707 76331 80457 101087 187733 228993 303261 534317 563199 992303 1314131 1602951 2976909 3740219 3942393 6946121 11220657 20838363 48622847 145868541