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102144350 = 25271143617
BaseRepresentation
bin1100001011010…
…01100101011110
321010012110201002
412011221211132
5202122104400
614045150302
72350132640
oct605514536
9233173632
10102144350
1152726620
122a25b392
1318214859
14d7cc890
158e79ed5
hex616995e

102144350 has 96 divisors (see below), whose sum is σ = 242770176. Its totient is φ = 31046400.

The previous prime is 102144337. The next prime is 102144353. The reversal of 102144350 is 53441201.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102144353) 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, 165242 + ... + 165858.

It is an arithmetic number, because the mean of its divisors is an integer number (2528856).

Almost surely, 2102144350 is an apocalyptic number.

102144350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102144350 is an abundant number, since it is smaller than the sum of its proper divisors (140625826).

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

102144350 is a wasteful number, since it uses less digits than its factorization.

102144350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 102144350 is about 10106.6488016553. The cubic root of 102144350 is about 467.4531776531.

Adding to 102144350 its reverse (53441201), we get a palindrome (155585551).

The spelling of 102144350 in words is "one hundred two million, one hundred forty-four thousand, three hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 43 50 55 70 77 86 110 154 175 215 275 301 350 385 430 473 550 602 617 770 946 1075 1234 1505 1925 2150 2365 3010 3085 3311 3850 4319 4730 6170 6622 6787 7525 8638 11825 13574 15050 15425 16555 21595 23650 26531 30850 33110 33935 43190 47509 53062 67870 82775 95018 107975 132655 165550 169675 185717 215950 237545 265310 291841 339350 371434 475090 583682 663275 928585 1187725 1326550 1459205 1857170 2042887 2375450 2918410 4085774 4642925 7296025 9285850 10214435 14592050 20428870 51072175 102144350