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1352131500 = 22353979293
BaseRepresentation
bin101000010010111…
…1110001110101100
310111020021101201110
41100211332032230
510232121202000
6342100512020
745335633226
oct12045761654
93436241643
101352131500
11634274455
123189ab610
1318718b615
14cb811416
157da8b850
hex5097e3ac

1352131500 has 96 divisors (see below), whose sum is σ = 3978426816. Its totient is φ = 356812800.

The previous prime is 1352131481. The next prime is 1352131537. The reversal of 1352131500 is 51312531.

1352131500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 140854 + ... + 150146.

It is an arithmetic number, because the mean of its divisors is an integer number (41441946).

Almost surely, 21352131500 is an apocalyptic number.

1352131500 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 1352131500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989213408).

1352131500 is an abundant number, since it is smaller than the sum of its proper divisors (2626295316).

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

1352131500 is a wasteful number, since it uses less digits than its factorization.

1352131500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9412 (or 9400 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1352131500 is about 36771.3407424859. The cubic root of 1352131500 is about 1105.7908113708.

The spelling of 1352131500 in words is "one billion, three hundred fifty-two million, one hundred thirty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 125 150 194 250 291 300 375 388 485 500 582 750 970 1164 1455 1500 1940 2425 2910 4850 5820 7275 9293 9700 12125 14550 18586 24250 27879 29100 36375 37172 46465 48500 55758 72750 92930 111516 139395 145500 185860 232325 278790 464650 557580 696975 901421 929300 1161625 1393950 1802842 2323250 2704263 2787900 3484875 3605684 4507105 4646500 5408526 6969750 9014210 10817052 13521315 13939500 18028420 22535525 27042630 45071050 54085260 67606575 90142100 112677625 135213150 225355250 270426300 338032875 450710500 676065750 1352131500