Search a number
-
+
1011232420 = 22511171272129
BaseRepresentation
bin111100010001100…
…010111010100100
32121110210221002121
4330101202322210
54032333414140
6244202115324
734026222322
oct7421427244
92543727077
101011232420
114798a5980
122427abb44
131316709a3
1498432d12
155db9e64a
hex3c462ea4

1011232420 has 96 divisors (see below), whose sum is σ = 2473390080. Its totient is φ = 343203840.

The previous prime is 1011232381. The next prime is 1011232429. The reversal of 1011232420 is 242321101.

It is a junction number, because it is equal to n+sod(n) for n = 1011232394 and 1011232403.

It is not an unprimeable number, because it can be changed into a prime (1011232429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473916 + ... + 476044.

It is an arithmetic number, because the mean of its divisors is an integer number (25764480).

Almost surely, 21011232420 is an apocalyptic number.

1011232420 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 1011232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236695040).

1011232420 is an abundant number, since it is smaller than the sum of its proper divisors (1462157660).

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

1011232420 is a wasteful number, since it uses less digits than its factorization.

1011232420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1011232420 is about 31799.8808173867. The cubic root of 1011232420 is about 1003.7302082452.

Adding to 1011232420 its reverse (242321101), we get a palindrome (1253553521).

The spelling of 1011232420 in words is "one billion, eleven million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 127 170 187 220 254 340 374 508 635 748 935 1270 1397 1870 2129 2159 2540 2794 3740 4258 4318 5588 6985 8516 8636 10645 10795 13970 21290 21590 23419 23749 27940 36193 42580 43180 46838 47498 72386 93676 94996 117095 118745 144772 180965 234190 237490 270383 361930 398123 468380 474980 540766 723860 796246 1081532 1351915 1592492 1990615 2703830 2974213 3981230 4596511 5407660 5948426 7962460 9193022 11896852 14871065 18386044 22982555 29742130 45965110 50561621 59484260 91930220 101123242 202246484 252808105 505616210 1011232420