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1012420420 = 2251147179547
BaseRepresentation
bin111100010110000…
…100111101000100
32121120001021201121
4330112010331010
54033134423140
6244243403324
734042301014
oct7426047504
92546037647
101012420420
1147a5374a0
12243083544
1313199864b
1498661c44
155dd3664a
hex3c584f44

1012420420 has 96 divisors (see below), whose sum is σ = 2386298880. Its totient is φ = 357651840.

The previous prime is 1012420391. The next prime is 1012420439. The reversal of 1012420420 is 240242101.

It is a junction number, because it is equal to n+sod(n) for n = 1012420394 and 1012420403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1850587 + ... + 1851133.

It is an arithmetic number, because the mean of its divisors is an integer number (24857280).

Almost surely, 21012420420 is an apocalyptic number.

1012420420 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 1012420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193149440).

1012420420 is an abundant number, since it is smaller than the sum of its proper divisors (1373878460).

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

1012420420 is a wasteful number, since it uses less digits than its factorization.

1012420420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1012420420 is about 31818.5546497637. The cubic root of 1012420420 is about 1004.1231165455.

Adding to 1012420420 its reverse (240242101), we get a palindrome (1252662521).

The spelling of 1012420420 in words is "one billion, twelve million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 179 188 220 235 358 470 517 547 716 895 940 1034 1094 1790 1969 2068 2188 2585 2735 3580 3938 5170 5470 6017 7876 8413 9845 10340 10940 12034 16826 19690 24068 25709 30085 33652 39380 42065 51418 60170 84130 92543 97913 102836 120340 128545 168260 185086 195826 257090 282799 370172 391652 462715 489565 514180 565598 925430 979130 1077043 1131196 1413995 1850860 1958260 2154086 2827990 4308172 4601911 5385215 5655980 9203822 10770430 18407644 21540860 23009555 46019110 50621021 92038220 101242042 202484084 253105105 506210210 1012420420