Search a number
-
+
1021134420 = 2232531182999
BaseRepresentation
bin111100110111010…
…100011001010100
32122011110000002100
4330313110121110
54042402300140
6245154242100
734206333165
oct7467243124
92564400070
101021134420
11484449449
12245b86330
13133729a67
149988d76c
155e9a8530
hex3cdd4654

1021134420 has 72 divisors (see below), whose sum is σ = 3197376000. Its totient is φ = 263517120.

The previous prime is 1021134409. The next prime is 1021134421. The reversal of 1021134420 is 244311201.

1021134420 is a `hidden beast` number, since 1 + 0 + 211 + 34 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1021134393 and 1021134402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021134421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85920 + ... + 97079.

It is an arithmetic number, because the mean of its divisors is an integer number (44408000).

Almost surely, 21021134420 is an apocalyptic number.

1021134420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021134420 is an abundant number, since it is smaller than the sum of its proper divisors (2176241580).

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

1021134420 is a wasteful number, since it uses less digits than its factorization.

1021134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183045 (or 183040 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1021134420 is about 31955.1939440211. The cubic root of 1021134420 is about 1006.9957519954.

Adding to 1021134420 its reverse (244311201), we get a palindrome (1265445621).

The spelling of 1021134420 in words is "one billion, twenty-one million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 182999 365998 548997 731996 914995 1097994 1646991 1829990 2195988 2744985 3293982 3659980 5489970 5672969 6587964 8234955 10979940 11345938 16469910 17018907 22691876 28364845 32939820 34037814 51056721 56729690 68075628 85094535 102113442 113459380 170189070 204226884 255283605 340378140 510567210 1021134420