Search a number
-
+
1540541712 = 243297914009
BaseRepresentation
bin101101111010010…
…1100110100010000
310222100210121221110
41123310230310100
511123334313322
6412511053320
753114250153
oct13364546420
93870717843
101540541712
11720660876
1236bb11240
131b7218558
14108857c9a
15903a6c0c
hex5bd2cd10

1540541712 has 80 divisors (see below), whose sum is σ = 4169376000. Its totient is φ = 489495552.

The previous prime is 1540541707. The next prime is 1540541747. The reversal of 1540541712 is 2171450451.

It is a self number, because there is not a number n which added to its sum of digits gives 1540541712.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102964 + ... + 116972.

It is an arithmetic number, because the mean of its divisors is an integer number (52117200).

Almost surely, 21540541712 is an apocalyptic number.

1540541712 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 1540541712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084688000).

1540541712 is an abundant number, since it is smaller than the sum of its proper divisors (2628834288).

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

1540541712 is a wasteful number, since it uses less digits than its factorization.

1540541712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14128 (or 14122 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 1540541712 is about 39249.7351838200. The cubic root of 1540541712 is about 1154.9357390083.

The spelling of 1540541712 in words is "one billion, five hundred forty million, five hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 79 87 116 158 174 232 237 316 348 464 474 632 696 948 1264 1392 1896 2291 3792 4582 6873 9164 13746 14009 18328 27492 28018 36656 42027 54984 56036 84054 109968 112072 168108 224144 336216 406261 672432 812522 1106711 1218783 1625044 2213422 2437566 3250088 3320133 4426844 4875132 6500176 6640266 8853688 9750264 13280532 17707376 19500528 26561064 32094619 53122128 64189238 96283857 128378476 192567714 256756952 385135428 513513904 770270856 1540541712