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5132341140 = 2235176182487
BaseRepresentation
bin1001100011110100…
…10100111110010100
3111020200101221110220
410301322110332110
541002334404030
62205135514340
7241120115463
oct46172247624
914220357426
105132341140
1121a4088953
12bb29889b0
1363a3b6b64
143698b09da
15200898a10
hex131e94f94

5132341140 has 96 divisors (see below), whose sum is σ = 15465510144. Its totient is φ = 1266984960.

The previous prime is 5132341133. The next prime is 5132341171. The reversal of 5132341140 is 411432315.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5132341140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20977 + ... + 103463.

It is an arithmetic number, because the mean of its divisors is an integer number (161099064).

Almost surely, 25132341140 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 5132341140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732755072).

5132341140 is an abundant number, since it is smaller than the sum of its proper divisors (10333169004).

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

5132341140 is a wasteful number, since it uses less digits than its factorization.

5132341140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82577 (or 82575 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5132341140 is about 71640.3597143398. The cubic root of 5132341140 is about 1724.9314419298.

Adding to 5132341140 its reverse (411432315), we get a palindrome (5543773455).

The spelling of 5132341140 in words is "five billion, one hundred thirty-two million, three hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 85 102 122 170 183 204 244 255 305 340 366 510 610 732 915 1020 1037 1220 1830 2074 3111 3660 4148 5185 6222 10370 12444 15555 20740 31110 62220 82487 164974 247461 329948 412435 494922 824870 989844 1237305 1402279 1649740 2474610 2804558 4206837 4949220 5031707 5609116 7011395 8413674 10063414 14022790 15095121 16827348 20126828 21034185 25158535 28045580 30190242 42068370 50317070 60380484 75475605 84136740 85539019 100634140 150951210 171078038 256617057 301902420 342156076 427695095 513234114 855390190 1026468228 1283085285 1710780380 2566170570 5132341140