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1530347936 = 25136016121
BaseRepresentation
bin101101100110111…
…0100000110100000
310221122121201201012
41123031310012200
511113232113221
6411504400052
752631512535
oct13315640640
93848551635
101530347936
11715929067
12368616028
131b5089730
14107362d8c
158e54165b
hex5b3741a0

1530347936 has 48 divisors (see below), whose sum is σ = 3250561608. Its totient is φ = 705024000.

The previous prime is 1530347933. The next prime is 1530347957. The reversal of 1530347936 is 6397430351.

It can be written as a sum of positive squares in 4 ways, for example, as 1012512400 + 517835536 = 31820^2 + 22756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1530347893 and 1530347902.

It is not an unprimeable number, because it can be changed into a prime (1530347933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246956 + ... + 253076.

Almost surely, 21530347936 is an apocalyptic number.

1530347936 is a gapful number since it is divisible by the number (16) 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 1530347936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625280804).

1530347936 is an abundant number, since it is smaller than the sum of its proper divisors (1720213672).

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

1530347936 is a wasteful number, since it uses less digits than its factorization.

1530347936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6745 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 41.

The square root of 1530347936 is about 39119.6617572289. The cubic root of 1530347936 is about 1152.3826933931.

The spelling of 1530347936 in words is "one billion, five hundred thirty million, three hundred forty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 601 1202 2404 4808 6121 7813 9616 12242 15626 19232 24484 31252 48968 62504 79573 97936 125008 159146 195872 250016 318292 636584 1273168 2546336 3678721 7357442 14714884 29429768 47823373 58859536 95646746 117719072 191293492 382586984 765173968 1530347936