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1530480912 = 24331233179
BaseRepresentation
bin101101100111001…
…0100100100010000
310221122212111010020
41123032110210100
511113300342122
6411511303440
752632605322
oct13316244420
93848774106
101530480912
11715a09a64
1236867ab80
131b510510c
14107399612
158e56ac5c
hex5b394910

1530480912 has 60 divisors (see below), whose sum is σ = 4085519760. Its totient is φ = 493688640.

The previous prime is 1530480883. The next prime is 1530480961. The reversal of 1530480912 is 2190840351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29539 + ... + 62717.

It is an arithmetic number, because the mean of its divisors is an integer number (68091996).

Almost surely, 21530480912 is an apocalyptic number.

1530480912 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 1530480912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042759880).

1530480912 is an abundant number, since it is smaller than the sum of its proper divisors (2555038848).

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

1530480912 is a wasteful number, since it uses less digits than its factorization.

1530480912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33252 (or 33215 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1530480912 is about 39121.3613260070. The cubic root of 1530480912 is about 1152.4160702915.

It can be divided in two parts, 15 and 30480912, that multiplied together give a triangular number (457213680 = T30239).

The spelling of 1530480912 in words is "one billion, five hundred thirty million, four hundred eighty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1488 1922 2883 3844 5766 7688 11532 15376 23064 33179 46128 66358 99537 132716 199074 265432 398148 530864 796296 1028549 1592592 2057098 3085647 4114196 6171294 8228392 12342588 16456784 24685176 31885019 49370352 63770038 95655057 127540076 191310114 255080152 382620228 510160304 765240456 1530480912