Search a number
-
+
1036616140 = 225717435553
BaseRepresentation
bin111101110010011…
…000000111001100
32200020120120000101
4331302120013030
54110333204030
6250510140444
734455043330
oct7562300714
92606516011
101036616140
1149216305a
1224b1b1724
131369ba741
149b95d7c0
15610157ca
hex3dc981cc

1036616140 has 48 divisors (see below), whose sum is σ = 2634230592. Its totient is φ = 334503936.

The previous prime is 1036616137. The next prime is 1036616143. The reversal of 1036616140 is 416166301.

1036616140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1036616137) and next prime (1036616143).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1036616099 and 1036616108.

It is not an unprimeable number, because it can be changed into a prime (1036616143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215397 + ... + 220156.

It is an arithmetic number, because the mean of its divisors is an integer number (54879804).

Almost surely, 21036616140 is an apocalyptic number.

1036616140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1036616140 is an abundant number, since it is smaller than the sum of its proper divisors (1597614452).

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

1036616140 is a wasteful number, since it uses less digits than its factorization.

1036616140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435586 (or 435584 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1036616140 is about 32196.5237253962. The cubic root of 1036616140 is about 1012.0593670745.

The spelling of 1036616140 in words is "one billion, thirty-six million, six hundred sixteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 435553 871106 1742212 2177765 3048871 4355530 6097742 7404401 8711060 12195484 14808802 15244355 29617604 30488710 37022005 51830807 60977420 74044010 103661614 148088020 207323228 259154035 518308070 1036616140