Search a number
-
+
102331520 = 2751271259
BaseRepresentation
bin1100001100101…
…11010010000000
321010112222110022
412012113102000
5202144102040
614053153012
72351542424
oct606272200
9233488408
10102331520
1152844205
122a32b768
131827bac5
14d83ab84
158eb56b5
hex6197480

102331520 has 64 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 40578048.

The previous prime is 102331513. The next prime is 102331583. The reversal of 102331520 is 25133201.

It is a tau number, because it is divible by the number of its divisors (64).

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, 80651 + ... + 81909.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2102331520 is an apocalyptic number.

102331520 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 102331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

102331520 is an abundant number, since it is smaller than the sum of its proper divisors (144426880).

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

102331520 is a wasteful number, since it uses less digits than its factorization.

102331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 102331520 is about 10115.9043095514. The cubic root of 102331520 is about 467.7385248914.

Adding to 102331520 its reverse (25133201), we get a palindrome (127464721).

The spelling of 102331520 in words is "one hundred two million, three hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 320 508 635 640 1016 1259 1270 2032 2518 2540 4064 5036 5080 6295 8128 10072 10160 12590 16256 20144 20320 25180 40288 40640 50360 80576 81280 100720 159893 161152 201440 319786 402880 639572 799465 805760 1279144 1598930 2558288 3197860 5116576 6395720 10233152 12791440 20466304 25582880 51165760 102331520