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1349020500 = 223534492003
BaseRepresentation
bin101000001101000…
…0110101101010100
310111000102100020020
41100122012231110
510230322124000
6341510105140
745300325242
oct12032065524
93430370206
101349020500
1163253a083
1231794b1b0
1318663c5a9
14cb241792
157d674ba0
hex50686b54

1349020500 has 96 divisors (see below), whose sum is σ = 3939062400. Its totient is φ = 358758400.

The previous prime is 1349020487. The next prime is 1349020513. The reversal of 1349020500 is 50209431.

It is an interprime number because it is at equal distance from previous prime (1349020487) and next prime (1349020513).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672499 + ... + 674501.

It is an arithmetic number, because the mean of its divisors is an integer number (41031900).

Almost surely, 21349020500 is an apocalyptic number.

1349020500 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 1349020500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969531200).

1349020500 is an abundant number, since it is smaller than the sum of its proper divisors (2590041900).

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

1349020500 is a wasteful number, since it uses less digits than its factorization.

1349020500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1349020500 is about 36729.0144163984. The cubic root of 1349020500 is about 1104.9420879677.

Adding to 1349020500 its reverse (50209431), we get a palindrome (1399229931).

The spelling of 1349020500 in words is "one billion, three hundred forty-nine million, twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 449 500 750 898 1347 1500 1796 2003 2245 2694 4006 4490 5388 6009 6735 8012 8980 10015 11225 12018 13470 20030 22450 24036 26940 30045 33675 40060 44900 50075 56125 60090 67350 100150 112250 120180 134700 150225 168375 200300 224500 250375 300450 336750 500750 600900 673500 751125 899347 1001500 1502250 1798694 2698041 3004500 3597388 4496735 5396082 8993470 10792164 13490205 17986940 22483675 26980410 44967350 53960820 67451025 89934700 112418375 134902050 224836750 269804100 337255125 449673500 674510250 1349020500