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1132503020 = 2251173151467
BaseRepresentation
bin100001110000000…
…1001111111101100
32220221000010002022
41003200021333230
54304410044040
6304213245312
740031055035
oct10340117754
92827003068
101132503020
115312a5310
12277333838
1315082103c
14aa59da8c
15696566b5
hex43809fec

1132503020 has 96 divisors (see below), whose sum is σ = 2653088256. Its totient is φ = 402624000.

The previous prime is 1132503013. The next prime is 1132503109. The reversal of 1132503020 is 203052311.

It is a self number, because there is not a number n which added to its sum of digits gives 1132503020.

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, 2424827 + ... + 2425293.

It is an arithmetic number, because the mean of its divisors is an integer number (27636336).

Almost surely, 21132503020 is an apocalyptic number.

1132503020 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 1132503020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326544128).

1132503020 is an abundant number, since it is smaller than the sum of its proper divisors (1520585236).

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

1132503020 is a wasteful number, since it uses less digits than its factorization.

1132503020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1132503020 is about 33652.6822110809. The cubic root of 1132503020 is about 1042.3489252332.

Adding to 1132503020 its reverse (203052311), we get a palindrome (1335555331).

The spelling of 1132503020 in words is "one billion, one hundred thirty-two million, five hundred three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 151 220 292 302 365 467 604 730 755 803 934 1460 1510 1606 1661 1868 2335 3020 3212 3322 4015 4670 5137 6644 8030 8305 9340 10274 11023 16060 16610 20548 22046 25685 33220 34091 44092 51370 55115 68182 70517 102740 110230 121253 136364 141034 170455 220460 242506 282068 340910 352585 375001 485012 606265 681820 705170 750002 775687 1212530 1410340 1500004 1551374 1875005 2425060 3102748 3750010 3878435 5147741 7500020 7756870 10295482 15513740 20590964 25738705 51477410 56625151 102954820 113250302 226500604 283125755 566251510 1132503020