Search a number
-
+
102025764 = 2233979739
BaseRepresentation
bin1100001010011…
…00101000100100
321002222110001000
412011030220210
5202104311024
614042433300
72346130131
oct605145044
9232873030
10102025764
1152655515
122a202830
13181a2899
14d79b588
158e54cc9
hex614ca24

102025764 has 48 divisors (see below), whose sum is σ = 267265600. Its totient is φ = 33654528.

The previous prime is 102025757. The next prime is 102025771. The reversal of 102025764 is 467520201.

It is an interprime number because it is at equal distance from previous prime (102025757) and next prime (102025771).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5607 + ... + 15345.

Almost surely, 2102025764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102025764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133632800).

102025764 is an abundant number, since it is smaller than the sum of its proper divisors (165239836).

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

102025764 is a wasteful number, since it uses less digits than its factorization.

102025764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9849 (or 9841 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 102025764 is about 10100.7803658925. The cubic root of 102025764 is about 467.2722086994.

Adding to 102025764 its reverse (467520201), we get a palindrome (569545965).

The spelling of 102025764 in words is "one hundred two million, twenty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1164 1746 2619 3492 5238 9739 10476 19478 29217 38956 58434 87651 116868 175302 262953 350604 525906 944683 1051812 1889366 2834049 3778732 5668098 8502147 11336196 17004294 25506441 34008588 51012882 102025764