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1345515500 = 22537254919
BaseRepresentation
bin101000000110010…
…1110111111101100
310110202211021021102
41100030232333230
510223422444000
6341303022232
745225456500
oct12014567754
93422737242
101345515500
1163056578a
1231673a978
131859b3124
14ca9ac300
157d1d13d5
hex5032efec

1345515500 has 72 divisors (see below), whose sum is σ = 3418440480. Its totient is φ = 461311200.

The previous prime is 1345515499. The next prime is 1345515527. The reversal of 1345515500 is 55155431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2960 + ... + 51959.

It is an arithmetic number, because the mean of its divisors is an integer number (47478340).

Almost surely, 21345515500 is an apocalyptic number.

1345515500 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 1345515500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709220240).

1345515500 is an abundant number, since it is smaller than the sum of its proper divisors (2072924980).

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

1345515500 is a wasteful number, since it uses less digits than its factorization.

1345515500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54952 (or 54933 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 29.

The square root of 1345515500 is about 36681.2690620158. The cubic root of 1345515500 is about 1103.9843113275.

The spelling of 1345515500 in words is "one billion, three hundred forty-five million, five hundred fifteen thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 700 875 980 1225 1750 2450 3500 4900 6125 12250 24500 54919 109838 219676 274595 384433 549190 768866 1098380 1372975 1537732 1922165 2691031 2745950 3844330 5382062 5491900 6864875 7688660 9610825 10764124 13455155 13729750 19221650 26910310 27459500 38443300 48054125 53820620 67275775 96108250 134551550 192216500 269103100 336378875 672757750 1345515500