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1530304692 = 2237224110799
BaseRepresentation
bin101101100110110…
…1001100010110100
310221122112112101120
41123031221202310
511113224222232
6411503423540
752631242500
oct13315514264
93848475346
101530304692
117158a9624
123685b4bb0
131b5072b47
14107351300
158e53392c
hex5b3698b4

1530304692 has 72 divisors (see below), whose sum is σ = 4171305600. Its totient is φ = 435375360.

The previous prime is 1530304673. The next prime is 1530304693. The reversal of 1530304692 is 2964030351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530304693) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136309 + ... + 147107.

It is an arithmetic number, because the mean of its divisors is an integer number (57934800).

Almost surely, 21530304692 is an apocalyptic number.

1530304692 is a gapful number since it is divisible by the number (12) 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 1530304692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085652800).

1530304692 is an abundant number, since it is smaller than the sum of its proper divisors (2641000908).

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

1530304692 is a wasteful number, since it uses less digits than its factorization.

1530304692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11061 (or 11052 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 1530304692 is about 39119.1090389339. The cubic root of 1530304692 is about 1152.3718387577.

The spelling of 1530304692 in words is "one billion, five hundred thirty million, three hundred four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 241 294 482 588 723 964 1446 1687 2892 3374 5061 6748 10122 10799 11809 20244 21598 23618 32397 35427 43196 47236 64794 70854 75593 129588 141708 151186 226779 302372 453558 529151 907116 1058302 1587453 2116604 2602559 3174906 5205118 6349812 7807677 10410236 15615354 18217913 31230708 36435826 54653739 72871652 109307478 127525391 218614956 255050782 382576173 510101564 765152346 1530304692