Search a number
-
+
1534103460 = 2232517501341
BaseRepresentation
bin101101101110000…
…1000111110100100
310221220200112022200
41123130020332210
511120212302320
6412121054500
753005443561
oct13334107644
93856615280
101534103460
11717a636aa
12369927430
131b5aa2c36
14107a5d868
158ea34290
hex5b708fa4

1534103460 has 72 divisors (see below), whose sum is σ = 4927189176. Its totient is φ = 385029120.

The previous prime is 1534103429. The next prime is 1534103507. The reversal of 1534103460 is 643014351.

1534103460 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 395850816 + 1138252644 = 19896^2 + 33738^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247611 + ... + 253730.

It is an arithmetic number, because the mean of its divisors is an integer number (68433183).

Almost surely, 21534103460 is an apocalyptic number.

1534103460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1534103460 is an abundant number, since it is smaller than the sum of its proper divisors (3393085716).

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

1534103460 is a wasteful number, since it uses less digits than its factorization.

1534103460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501373 (or 501368 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1534103460 is about 39167.6328107789. The cubic root of 1534103460 is about 1153.3245849701.

The spelling of 1534103460 in words is "one billion, five hundred thirty-four million, one hundred three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 501341 1002682 1504023 2005364 2506705 3008046 4512069 5013410 6016092 7520115 8522797 9024138 10026820 15040230 17045594 18048276 22560345 25568391 30080460 34091188 42613985 45120690 51136782 76705173 85227970 90241380 102273564 127841955 153410346 170455940 255683910 306820692 383525865 511367820 767051730 1534103460