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1130872500 = 22325450261
BaseRepresentation
bin100001101100111…
…1011111010110100
32220210221021102200
41003121323322310
54304000410000
6304114304500
740011154242
oct10331737264
92823837380
101130872500
1153039127a
12276888130
1315039cb34
14aa297792
1569433500
hex4367beb4

1130872500 has 90 divisors (see below), whose sum is σ = 3572170602. Its totient is φ = 301560000.

The previous prime is 1130872489. The next prime is 1130872507. The reversal of 1130872500 is 52780311.

It can be written as a sum of positive squares in 5 ways, for example, as 630813456 + 500059044 = 25116^2 + 22362^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×11308725002 = 2557745222512500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130872507) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2631 + ... + 47630.

Almost surely, 21130872500 is an apocalyptic number.

1130872500 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 1130872500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786085301).

1130872500 is an abundant number, since it is smaller than the sum of its proper divisors (2441298102).

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

1130872500 is a wasteful number, since it uses less digits than its factorization.

1130872500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50291 (or 50271 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1130872500 is about 33628.4477786293. The cubic root of 1130872500 is about 1041.8484447211.

The spelling of 1130872500 in words is "one billion, one hundred thirty million, eight hundred seventy-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 22500 50261 100522 150783 201044 251305 301566 452349 502610 603132 753915 904698 1005220 1256525 1507830 1809396 2261745 2513050 3015660 3769575 4523490 5026100 6282625 7539150 9046980 11308725 12565250 15078300 18847875 22617450 25130500 31413125 37695750 45234900 56543625 62826250 75391500 94239375 113087250 125652500 188478750 226174500 282718125 376957500 565436250 1130872500