Search a number
-
+
1145112520 = 2351719263337
BaseRepresentation
bin100010001000001…
…0000011111001000
32221210201202001211
41010100100133020
54321122100040
6305343422504
740243203316
oct10420203710
92853652054
101145112520
11538427a92
1227b5b4a34
13153317596
14ac1230b6
156a7e78ea
hex444107c8

1145112520 has 128 divisors (see below), whose sum is σ = 2891116800. Its totient is φ = 405651456.

The previous prime is 1145112511. The next prime is 1145112547. The reversal of 1145112520 is 252115411.

It is a super-2 number, since 2×11451125202 = 2622565366921500800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145112491 and 1145112500.

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, 3397792 + ... + 3398128.

It is an arithmetic number, because the mean of its divisors is an integer number (22586850).

Almost surely, 21145112520 is an apocalyptic number.

1145112520 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 1145112520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445558400).

1145112520 is an abundant number, since it is smaller than the sum of its proper divisors (1746004280).

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

1145112520 is a wasteful number, since it uses less digits than its factorization.

1145112520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 1145112520 is about 33839.5112257846. The cubic root of 1145112520 is about 1046.2032247620.

Adding to 1145112520 its reverse (252115411), we get a palindrome (1397227931).

The spelling of 1145112520 in words is "one billion, one hundred forty-five million, one hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 263 323 337 340 380 526 646 674 680 760 1052 1292 1315 1348 1615 1685 2104 2584 2630 2696 3230 3370 4471 4997 5260 5729 6403 6460 6740 8942 9994 10520 11458 12806 12920 13480 17884 19988 22355 22916 24985 25612 28645 32015 35768 39976 44710 45832 49970 51224 57290 64030 84949 88631 89420 99940 108851 114580 128060 169898 177262 178840 199880 217702 229160 256120 339796 354524 424745 435404 443155 544255 679592 709048 849490 870808 886310 1088510 1506727 1683989 1698980 1772620 2177020 3013454 3367978 3397960 3545240 4354040 6026908 6735956 7533635 8419945 12053816 13471912 15067270 16839890 28627813 30134540 33679780 57255626 60269080 67359560 114511252 143139065 229022504 286278130 572556260 1145112520