Search a number
-
+
1410361040 = 245117122573
BaseRepresentation
bin101010000010000…
…0110011011010000
310122021211202122002
41110010012123100
510342023023130
6351540533132
746643604524
oct12404063320
93567752562
101410361040
11664126140
123343b11a8
1319626877a
14d544bd84
1583c3eb45
hex541066d0

1410361040 has 80 divisors (see below), whose sum is σ = 3627732096. Its totient is φ = 505612800.

The previous prime is 1410361039. The next prime is 1410361049. The reversal of 1410361040 is 401630141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410361049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51194 + ... + 73766.

Almost surely, 21410361040 is an apocalyptic number.

1410361040 is a gapful number since it is divisible by the number (10) 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 1410361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813866048).

1410361040 is an abundant number, since it is smaller than the sum of its proper divisors (2217371056).

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

1410361040 is a wasteful number, since it uses less digits than its factorization.

1410361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22668 (or 22662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1410361040 is about 37554.7738643172. The cubic root of 1410361040 is about 1121.4418717003.

Adding to 1410361040 its reverse (401630141), we get a palindrome (1811991181).

The spelling of 1410361040 in words is "one billion, four hundred ten million, three hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 110 142 176 220 284 355 440 568 710 781 880 1136 1420 1562 2840 3124 3905 5680 6248 7810 12496 15620 22573 31240 45146 62480 90292 112865 180584 225730 248303 361168 451460 496606 902920 993212 1241515 1602683 1805840 1986424 2483030 3205366 3972848 4966060 6410732 8013415 9932120 12821464 16026830 17629513 19864240 25642928 32053660 35259026 64107320 70518052 88147565 128214640 141036104 176295130 282072208 352590260 705180520 1410361040