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1530037740 = 2235721131723
BaseRepresentation
bin101101100110010…
…1000010111101100
310221122000222012110
41123030220113230
511113142201430
6411454004020
752626051300
oct13314502754
93848028173
101530037740
11715737000
123684a6610
131b4cab49a
141072c1d00
158e4ce7b0
hex5b3285ec

1530037740 has 576 divisors, whose sum is σ = 6056322048. Its totient is φ = 286218240.

The previous prime is 1530037721. The next prime is 1530037759. The reversal of 1530037740 is 477300351.

1530037740 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1530037721) and next prime (1530037759).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1530037698 and 1530037707.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66523369 + ... + 66523391.

It is an arithmetic number, because the mean of its divisors is an integer number (10514448).

Almost surely, 21530037740 is an apocalyptic number.

1530037740 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 1530037740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028161024).

1530037740 is an abundant number, since it is smaller than the sum of its proper divisors (4526284308).

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

1530037740 is a wasteful number, since it uses less digits than its factorization.

1530037740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 1530037740 is about 39115.6968492190. The cubic root of 1530037740 is about 1152.3048268616.

The spelling of 1530037740 in words is "one billion, five hundred thirty million, thirty-seven thousand, seven hundred forty".