Search a number
-
+
102124640 = 2555312043
BaseRepresentation
bin1100001011001…
…00110001100000
321010011110200002
412011210301200
5202120442030
614044515132
72350021322
oct605446140
9233143602
10102124640
1152712832
122a24baa8
13182088a7
14d7c5612
158e74245
hex6164c60

102124640 has 48 divisors (see below), whose sum is σ = 245842128. Its totient is φ = 40075776.

The previous prime is 102124609. The next prime is 102124651. The reversal of 102124640 is 46421201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2459 + ... + 14501.

It is an arithmetic number, because the mean of its divisors is an integer number (5121711).

Almost surely, 2102124640 is an apocalyptic number.

102124640 is a gapful number since it is divisible by the number (10) 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 102124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122921064).

102124640 is an abundant number, since it is smaller than the sum of its proper divisors (143717488).

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

102124640 is a wasteful number, since it uses less digits than its factorization.

102124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12111 (or 12103 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 102124640 is about 10105.6736539431. The cubic root of 102124640 is about 467.4231087855.

Adding to 102124640 its reverse (46421201), we get a palindrome (148545841).

The spelling of 102124640 in words is "one hundred two million, one hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 12043 24086 48172 60215 96344 120430 192688 240860 385376 481720 638279 963440 1276558 1926880 2553116 3191395 5106232 6382790 10212464 12765580 20424928 25531160 51062320 102124640