Search a number
-
+
1042413440 = 2753152541
BaseRepresentation
bin111110001000011…
…111011110000000
32200122111002102012
4332020133132000
54113324212230
6251234312052
734555240145
oct7610373600
92618432365
101042413440
11495462712
12251128628
13137c6a3b3
149c62c3cc
15617ad395
hex3e21f780

1042413440 has 64 divisors (see below), whose sum is σ = 2572456320. Its totient is φ = 403507200.

The previous prime is 1042413431. The next prime is 1042413451. The reversal of 1042413440 is 443142401.

It is a happy number.

1042413440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 6431 + ... + 46110.

It is an arithmetic number, because the mean of its divisors is an integer number (40194630).

Almost surely, 21042413440 is an apocalyptic number.

1042413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042413440 is an abundant number, since it is smaller than the sum of its proper divisors (1530042880).

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

1042413440 is an equidigital number, since it uses as much as digits as its factorization.

1042413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52591 (or 52579 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1042413440 is about 32286.4281084173. The cubic root of 1042413440 is about 1013.9425161312.

Adding to 1042413440 its reverse (443142401), we get a palindrome (1485555841).

The spelling of 1042413440 in words is "one billion, forty-two million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 52541 105082 210164 262705 420328 525410 840656 1050820 1628771 1681312 2101640 3257542 3362624 4203280 6515084 6725248 8143855 8406560 13030168 16287710 16813120 26060336 32575420 33626240 52120672 65150840 104241344 130301680 208482688 260603360 521206720 1042413440