Search a number
-
+
1011142320 = 243517247829
BaseRepresentation
bin111100010001001…
…100111010110000
32121110122100111120
4330101030322300
54032323023240
6244200142240
734025365536
oct7421147260
92543570446
101011142320
11479844211
12242767980
1313163b986
149840c156
155db82ad0
hex3c44ceb0

1011142320 has 80 divisors (see below), whose sum is σ = 3318939360. Its totient is φ = 253775872.

The previous prime is 1011142309. The next prime is 1011142331. The reversal of 1011142320 is 232411101.

It is an interprime number because it is at equal distance from previous prime (1011142309) and next prime (1011142331).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1011142320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119835 + ... + 127994.

It is an arithmetic number, because the mean of its divisors is an integer number (41486742).

Almost surely, 21011142320 is an apocalyptic number.

1011142320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011142320 is an abundant number, since it is smaller than the sum of its proper divisors (2307797040).

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

1011142320 is a wasteful number, since it uses less digits than its factorization.

1011142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247862 (or 247856 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1011142320 is about 31798.4641138530. The cubic root of 1011142320 is about 1003.7003968401.

Adding to 1011142320 its reverse (232411101), we get a palindrome (1243553421).

The spelling of 1011142320 in words is "one billion, eleven million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 247829 495658 743487 991316 1239145 1486974 1982632 2478290 2973948 3717435 3965264 4213093 4956580 5947896 7434870 8426186 9913160 11895792 12639279 14869740 16852372 19826320 21065465 25278558 29739480 33704744 42130930 50557116 59478960 63196395 67409488 84261860 101114232 126392790 168523720 202228464 252785580 337047440 505571160 1011142320