Search a number
-
+
130032240 = 24351371587
BaseRepresentation
bin1111100000000…
…10001001110000
3100001200022200220
413300002021300
5231242012430
620523013040
73136153512
oct760021160
9301608626
10130032240
1167444168
123766a180
1320c2a370
14133abbb2
15b638110
hex7c02270

130032240 has 160 divisors (see below), whose sum is σ = 440971776. Its totient is φ = 31503360.

The previous prime is 130032233. The next prime is 130032241. The reversal of 130032240 is 42230031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130032241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221227 + ... + 221813.

Almost surely, 2130032240 is an apocalyptic number.

130032240 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 130032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220485888).

130032240 is an abundant number, since it is smaller than the sum of its proper divisors (310939536).

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

130032240 is a wasteful number, since it uses less digits than its factorization.

130032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 130032240 is about 11403.1679808727. The cubic root of 130032240 is about 506.6215757041.

Adding to 130032240 its reverse (42230031), we get a palindrome (172262271).

The spelling of 130032240 in words is "one hundred thirty million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 71 78 80 104 120 130 142 156 195 208 213 240 260 284 312 355 390 426 520 568 587 624 710 780 852 923 1040 1065 1136 1174 1420 1560 1704 1761 1846 2130 2348 2769 2840 2935 3120 3408 3522 3692 4260 4615 4696 5538 5680 5870 7044 7384 7631 8520 8805 9230 9392 11076 11740 13845 14088 14768 15262 17040 17610 18460 22152 22893 23480 27690 28176 30524 35220 36920 38155 41677 44304 45786 46960 55380 61048 70440 73840 76310 83354 91572 110760 114465 122096 125031 140880 152620 166708 183144 208385 221520 228930 250062 305240 333416 366288 416770 457860 500124 541801 610480 625155 666832 833540 915720 1000248 1083602 1250310 1625403 1667080 1831440 2000496 2167204 2500620 2709005 3250806 3334160 4334408 5001240 5418010 6501612 8127015 8668816 10002480 10836020 13003224 16254030 21672040 26006448 32508060 43344080 65016120 130032240