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130210248 = 23372263421
BaseRepresentation
bin1111100001011…
…01100111001000
3100002000100212210
413300231213020
5231313211443
620530505120
73140524500
oct760554710
9302010783
10130210248
1167555983
12377351a0
1320c903ac
1413416a00
15b670c33
hex7c2d9c8

130210248 has 96 divisors (see below), whose sum is σ = 381015360. Its totient is φ = 36973440.

The previous prime is 130210247. The next prime is 130210271. The reversal of 130210248 is 842012031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (130210243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309078 + ... + 309498.

It is an arithmetic number, because the mean of its divisors is an integer number (3968910).

Almost surely, 2130210248 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 130210248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190507680).

130210248 is an abundant number, since it is smaller than the sum of its proper divisors (250805112).

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

130210248 is a wasteful number, since it uses less digits than its factorization.

130210248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 130210248 is about 11410.9705108724. The cubic root of 130210248 is about 506.8526506353.

Adding to 130210248 its reverse (842012031), we get a palindrome (972222279).

The spelling of 130210248 in words is "one hundred thirty million, two hundred ten thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 263 294 392 421 526 588 789 842 1052 1176 1263 1578 1684 1841 2104 2526 2947 3156 3368 3682 5052 5523 5894 6312 7364 8841 10104 11046 11788 12887 14728 17682 20629 22092 23576 25774 35364 38661 41258 44184 51548 61887 70728 77322 82516 103096 110723 123774 154644 165032 221446 247548 309288 332169 442892 495096 664338 775061 885784 1328676 1550122 2325183 2657352 3100244 4650366 5425427 6200488 9300732 10850854 16276281 18601464 21701708 32552562 43403416 65105124 130210248