Search a number
-
+
1331157360 = 2435133113763
BaseRepresentation
bin100111101010111…
…1101100101110000
310102202210210121110
41033111331211300
510211234013420
6340031153320
744662436151
oct11725754560
93382723543
101331157360
11623449255
12311975840
13182a269a0
14c8b11928
157bce6ee0
hex4f57d970

1331157360 has 160 divisors (see below), whose sum is σ = 4587706368. Its totient is φ = 317076480.

The previous prime is 1331157337. The next prime is 1331157383. The reversal of 1331157360 is 637511331.

It is an interprime number because it is at equal distance from previous prime (1331157337) and next prime (1331157383).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89839 + ... + 103601.

Almost surely, 21331157360 is an apocalyptic number.

1331157360 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 1331157360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293853184).

1331157360 is an abundant number, since it is smaller than the sum of its proper divisors (3256549008).

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

1331157360 is a wasteful number, since it uses less digits than its factorization.

1331157360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13823 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 1331157360 is about 36485.0292585877. The cubic root of 1331157360 is about 1100.0433481540.

Adding to 1331157360 its reverse (637511331), we get a palindrome (1968668691).

The spelling of 1331157360 in words is "one billion, three hundred thirty-one million, one hundred fifty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 310 312 372 390 403 465 496 520 620 624 744 780 806 930 1040 1209 1240 1488 1560 1612 1860 2015 2418 2480 3120 3224 3720 4030 4836 6045 6448 7440 8060 9672 12090 13763 16120 19344 24180 27526 32240 41289 48360 55052 68815 82578 96720 110104 137630 165156 178919 206445 220208 275260 330312 357838 412890 426653 536757 550520 660624 715676 825780 853306 894595 1073514 1101040 1279959 1431352 1651560 1706612 1789190 2133265 2147028 2559918 2683785 2862704 3303120 3413224 3578380 4266530 4294056 5119836 5367570 5546489 6399795 6826448 7156760 8533060 8588112 10239672 10735140 11092978 12799590 14313520 16639467 17066120 20479344 21470280 22185956 25599180 27732445 33278934 34132240 42940560 44371912 51198360 55464890 66557868 83197335 88743824 102396720 110929780 133115736 166394670 221859560 266231472 332789340 443719120 665578680 1331157360