Search a number
-
+
1051505140 = 225773137751
BaseRepresentation
bin111110101011001…
…011000111110100
32201021120222212211
4332223023013310
54123141131030
6252201223204
735025434440
oct7653130764
92637528784
101051505140
1149a602414
12254191b04
13139b016ba
149d917820
15624a712a
hex3eacb1f4

1051505140 has 96 divisors (see below), whose sum is σ = 2580286464. Its totient is φ = 352512000.

The previous prime is 1051505071. The next prime is 1051505141. The reversal of 1051505140 is 415051501.

It is a happy number.

It is a super-2 number, since 2×10515051402 = 2211326118892839200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051505141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399765 + ... + 1400515.

It is an arithmetic number, because the mean of its divisors is an integer number (26877984).

Almost surely, 21051505140 is an apocalyptic number.

1051505140 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 1051505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290143232).

1051505140 is an abundant number, since it is smaller than the sum of its proper divisors (1528781324).

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

1051505140 is a wasteful number, since it uses less digits than its factorization.

1051505140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The square root of 1051505140 is about 32426.9199894162. The cubic root of 1051505140 is about 1016.8817817078.

Adding to 1051505140 its reverse (415051501), we get a palindrome (1466556641).

The spelling of 1051505140 in words is "one billion, fifty-one million, five hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 137 140 146 274 292 365 511 548 685 730 751 959 1022 1370 1460 1502 1918 2044 2555 2740 3004 3755 3836 4795 5110 5257 7510 9590 10001 10220 10514 15020 19180 20002 21028 26285 40004 50005 52570 54823 70007 100010 102887 105140 109646 140014 200020 205774 219292 274115 280028 350035 383761 411548 514435 548230 700070 720209 767522 1028870 1096460 1400140 1440418 1535044 1918805 2057740 2880836 3601045 3837610 7202090 7510751 7675220 14404180 15021502 30043004 37553755 52575257 75107510 105150514 150215020 210301028 262876285 525752570 1051505140