[go: up one dir, main page]

Search a number
-
+
1036143640 = 23575369821
BaseRepresentation
bin111101110000100…
…100110000011000
32200012200112212101
4331300210300120
54110223044030
6250452053144
734451034640
oct7560446030
92605615771
101036143640
11491970064
1224b0041b4
1313688365c
149b879520
1560e707ca
hex3dc24c18

1036143640 has 64 divisors (see below), whose sum is σ = 2714679360. Its totient is φ = 348541440.

The previous prime is 1036143613. The next prime is 1036143643. The reversal of 1036143640 is 463416301.

It is a super-3 number, since 3×10361436403 (a number of 28 digits) contains 333 as substring.

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 = 1036143599 and 1036143608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036143643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20071 + ... + 49750.

It is an arithmetic number, because the mean of its divisors is an integer number (42416865).

Almost surely, 21036143640 is an apocalyptic number.

1036143640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1036143640 is an abundant number, since it is smaller than the sum of its proper divisors (1678535720).

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

1036143640 is a wasteful number, since it uses less digits than its factorization.

1036143640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69892 (or 69888 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 1036143640 is about 32189.1851403542. The cubic root of 1036143640 is about 1011.9055747797.

Adding to 1036143640 its reverse (463416301), we get a palindrome (1499559941).

The spelling of 1036143640 in words is "one billion, thirty-six million, one hundred forty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 14840 69821 139642 279284 349105 488747 558568 698210 977494 1396420 1954988 2443735 2792840 3700513 3909976 4887470 7401026 9774940 14802052 18502565 19549880 25903591 29604104 37005130 51807182 74010260 103614364 129517955 148020520 207228728 259035910 518071820 1036143640