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1505420740 = 225297333541
BaseRepresentation
bin101100110111010…
…1110010111000100
310212220201022000201
41121232232113010
511040341430430
6405214220244
752206602515
oct13156562704
93786638021
101505420740
1170285297a
123601b4684
131acb6c705
14103d14a0c
158c26a8ca
hex59bae5c4

1505420740 has 48 divisors (see below), whose sum is σ = 3275783280. Its totient is φ = 580446720.

The previous prime is 1505420723. The next prime is 1505420759. The reversal of 1505420740 is 470245051.

It can be written as a sum of positive squares in 8 ways, for example, as 71132356 + 1434288384 = 8434^2 + 37872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1505420699 and 1505420708.

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 15 ways as a sum of consecutive naturals, for example, 423370 + ... + 426910.

It is an arithmetic number, because the mean of its divisors is an integer number (68245485).

Almost surely, 21505420740 is an apocalyptic number.

1505420740 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 1505420740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637891640).

1505420740 is an abundant number, since it is smaller than the sum of its proper divisors (1770362540).

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

1505420740 is a wasteful number, since it uses less digits than its factorization.

1505420740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 1505420740 is about 38799.7518033299. The cubic root of 1505420740 is about 1146.0915177572.

Adding to 1505420740 its reverse (470245051), we get a palindrome (1975665791).

The spelling of 1505420740 in words is "one billion, five hundred five million, four hundred twenty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 733 1466 2932 3541 3665 7082 7330 14164 14660 17705 21257 35410 42514 70820 85028 102689 106285 205378 212570 410756 425140 513445 1026890 2053780 2595553 5191106 10382212 12977765 25955530 51911060 75271037 150542074 301084148 376355185 752710370 1505420740