Search a number
-
+
102010428 = 223813223
BaseRepresentation
bin1100001010010…
…00111000111100
321002221200000000
412011020320330
5202103313203
614042234300
72346034332
oct605107074
9232850000
10102010428
1152644a43
122a1b5990
1318198900
14d795b52
158e504a3
hex6148e3c

102010428 has 162 divisors, whose sum is σ = 302551704. Its totient is φ = 30023136.

The previous prime is 102010423. The next prime is 102010439. The reversal of 102010428 is 824010201.

It is a tau number, because it is divible by the number of its divisors (162).

It is a super-2 number, since 2×1020104282 = 20812254841486368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 102010428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010423) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4435225 + ... + 4435247.

Almost surely, 2102010428 is an apocalyptic number.

102010428 is a gapful number since it is divisible by the number (18) 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 102010428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151275852).

102010428 is an abundant number, since it is smaller than the sum of its proper divisors (200541276).

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

102010428 is an equidigital number, since it uses as much as digits as its factorization.

102010428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102010428 is about 10100.0211880966. The cubic root of 102010428 is about 467.2487948563.

Adding to 102010428 its reverse (824010201), we get a palindrome (926020629).

The spelling of 102010428 in words is "one hundred two million, ten thousand, four hundred twenty-eight".