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1530105312 = 253132712011
BaseRepresentation
bin101101100110011…
…1000110111100000
310221122011101220010
41123030320313200
511113201332222
6411455244520
752626452301
oct13314706740
93848141803
101530105312
1171578284a
12368519740
131b5003178
141072dc7a8
158e4e480c
hex5b338de0

1530105312 has 48 divisors (see below), whose sum is σ = 4019887872. Its totient is φ = 509608320.

The previous prime is 1530105301. The next prime is 1530105341. The reversal of 1530105312 is 2135010351.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121387 + ... + 133397.

It is an arithmetic number, because the mean of its divisors is an integer number (83747664).

Almost surely, 21530105312 is an apocalyptic number.

1530105312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1530105312 is an abundant number, since it is smaller than the sum of its proper divisors (2489782560).

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

1530105312 is a wasteful number, since it uses less digits than its factorization.

1530105312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13351 (or 13343 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1530105312 is about 39116.5605850003. The cubic root of 1530105312 is about 1152.3217899281.

Adding to 1530105312 its reverse (2135010351), we get a palindrome (3665115663).

The spelling of 1530105312 in words is "one billion, five hundred thirty million, one hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1327 2654 3981 5308 7962 10616 12011 15924 21232 24022 31848 36033 42464 48044 63696 72066 96088 127392 144132 192176 288264 384352 576528 1153056 15938597 31877194 47815791 63754388 95631582 127508776 191263164 255017552 382526328 510035104 765052656 1530105312