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1145431320 = 2335117311887
BaseRepresentation
bin100010001000101…
…1110010100011000
32221211022221101020
41010101132110120
54321212300240
6305354322440
740246001625
oct10421362430
92854287336
101145431320
11538625560
1227b729420
131533c9717
14ac1a734c
156a85c0d0
hex4445e518

1145431320 has 128 divisors (see below), whose sum is σ = 3800355840. Its totient is φ = 273853440.

The previous prime is 1145431319. The next prime is 1145431327. The reversal of 1145431320 is 231345411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145431327) 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, 90417 + ... + 102303.

It is an arithmetic number, because the mean of its divisors is an integer number (29690280).

Almost surely, 21145431320 is an apocalyptic number.

1145431320 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 1145431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900177920).

1145431320 is an abundant number, since it is smaller than the sum of its proper divisors (2654924520).

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

1145431320 is a wasteful number, since it uses less digits than its factorization.

1145431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11985 (or 11981 counting only the distinct ones).

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

The square root of 1145431320 is about 33844.2213679086. The cubic root of 1145431320 is about 1046.3003036183.

Adding to 1145431320 its reverse (231345411), we get a palindrome (1376776731).

The spelling of 1145431320 in words is "one billion, one hundred forty-five million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 1095 1320 1460 1606 1752 2190 2409 2920 3212 4015 4380 4818 6424 8030 8760 9636 11887 12045 16060 19272 23774 24090 32120 35661 47548 48180 59435 71322 95096 96360 118870 130757 142644 178305 237740 261514 285288 356610 392271 475480 523028 653785 713220 784542 867751 1046056 1307570 1426440 1569084 1735502 1961355 2603253 2615140 3138168 3471004 3922710 4338755 5206506 5230280 6942008 7845420 8677510 9545261 10413012 13016265 15690840 17355020 19090522 20826024 26032530 28635783 34710040 38181044 47726305 52065060 57271566 76362088 95452610 104130120 114543132 143178915 190905220 229086264 286357830 381810440 572715660 1145431320