Search a number
-
+
1014240020 = 2253114910979
BaseRepresentation
bin111100011101000…
…001001100010100
32121200110201202012
4330131001030110
54034121140040
6244350403352
734063616663
oct7435011424
92550421665
101014240020
1148056a5a2
12243800558
13132184931
14989b6dda
155e095865
hex3c741314

1014240020 has 48 divisors (see below), whose sum is σ = 2213568000. Its totient is φ = 389938560.

The previous prime is 1014239981. The next prime is 1014240023. The reversal of 1014240020 is 200424101.

It is a junction number, because it is equal to n+sod(n) for n = 1014239977 and 1014240004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014240023) 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, 86891 + ... + 97869.

It is an arithmetic number, because the mean of its divisors is an integer number (46116000).

Almost surely, 21014240020 is an apocalyptic number.

1014240020 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 1014240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106784000).

1014240020 is an abundant number, since it is smaller than the sum of its proper divisors (1199327980).

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

1014240020 is a wasteful number, since it uses less digits than its factorization.

1014240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168 (or 11166 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1014240020 is about 31847.1351929809. The cubic root of 1014240020 is about 1004.7243189957.

Adding to 1014240020 its reverse (200424101), we get a palindrome (1214664121).

The spelling of 1014240020 in words is "one billion, fourteen million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 149 155 298 310 596 620 745 1490 2980 4619 9238 10979 18476 21958 23095 43916 46190 54895 92380 109790 219580 340349 680698 1361396 1635871 1701745 3271742 3403490 6543484 6806980 8179355 16358710 32717420 50712001 101424002 202848004 253560005 507120010 1014240020