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102141424 = 2471127537
BaseRepresentation
bin1100001011010…
…00110111110000
321010012022200201
412011220313300
5202122011144
614045124544
72350121260
oct605506760
9233168621
10102141424
1152724400
122a259754
1318213418
14d7cb7a0
158e791d4
hex6168df0

102141424 has 60 divisors (see below), whose sum is σ = 248633392. Its totient is φ = 39790080.

The previous prime is 102141421. The next prime is 102141439. The reversal of 102141424 is 424141201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102141421) 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 11 ways as a sum of consecutive naturals, for example, 9784 + ... + 17320.

Almost surely, 2102141424 is an apocalyptic number.

102141424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124316696).

102141424 is an abundant number, since it is smaller than the sum of its proper divisors (146491968).

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

102141424 is a wasteful number, since it uses less digits than its factorization.

102141424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 102141424 is about 10106.5040444260. The cubic root of 102141424 is about 467.4487140972.

Adding to 102141424 its reverse (424141201), we get a palindrome (526282625).

The spelling of 102141424 in words is "one hundred two million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1232 1694 1936 3388 6776 7537 13552 15074 30148 52759 60296 82907 105518 120592 165814 211036 331628 422072 580349 663256 844144 911977 1160698 1326512 1823954 2321396 3647908 4642792 6383839 7295816 9285584 12767678 14591632 25535356 51070712 102141424