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145252107 = 327111323701
BaseRepresentation
bin10001010100001…
…01111100001011
3101010022120102200
420222011330023
5244141031412
622225131243
73412423350
oct1052057413
9333276380
10145252107
1174a9a070
1240789b23
1324128ac0
1415410627
15cb429dc
hex8a85f0b

145252107 has 96 divisors (see below), whose sum is σ = 294368256. Its totient is φ = 66528000.

The previous prime is 145252069. The next prime is 145252117. The reversal of 145252107 is 701252541.

It is not a de Polignac number, because 145252107 - 210 = 145251083 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (145252117) 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, 206857 + ... + 207557.

It is an arithmetic number, because the mean of its divisors is an integer number (3066336).

Almost surely, 2145252107 is an apocalyptic number.

145252107 is an abundant number, since it is smaller than the sum of its proper divisors (149116149).

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

145252107 is a wasteful number, since it uses less digits than its factorization.

145252107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 145252107 is about 12052.0582059663. The cubic root of 145252107 is about 525.6630859655.

It can be divided in two parts, 145 and 252107, that added together give a palindrome (252252).

The spelling of 145252107 in words is "one hundred forty-five million, two hundred fifty-two thousand, one hundred seven".

Divisors: 1 3 7 9 11 13 21 23 33 39 63 69 77 91 99 117 143 161 207 231 253 273 299 429 483 693 701 759 819 897 1001 1287 1449 1771 2093 2103 2277 2691 3003 3289 4907 5313 6279 6309 7711 9009 9113 9867 14721 15939 16123 18837 23023 23133 27339 29601 44163 48369 53977 63791 69069 69399 82017 100243 112861 145107 161931 177353 191373 207207 209599 300729 338583 485793 532059 574119 628797 701701 902187 1015749 1241471 1467193 1596177 1886391 2105103 2305589 3724413 4401579 6315309 6916767 11173239 13204737 16139123 20750301 48417369 145252107