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8031420 = 22335107139
BaseRepresentation
bin11110101000110010111100
3120010001001000
4132220302330
54024001140
6444050300
7125160135
oct36506274
916101030
108031420
114596141
122833990
131882827
1410d0c8c
15a89a30
hex7a8cbc

8031420 has 96 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 2106432.

The previous prime is 8031409. The next prime is 8031421. The reversal of 8031420 is 241308.

It is a happy number.

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 = 8031393 and 8031402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8031421) 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 31 ways as a sum of consecutive naturals, for example, 57711 + ... + 57849.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 28031420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8031420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

8031420 is an abundant number, since it is smaller than the sum of its proper divisors (17370180).

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

8031420 is a wasteful number, since it uses less digits than its factorization.

8031420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

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

The square root of 8031420 is about 2833.9760055442. The cubic root of 8031420 is about 200.2614912958.

Adding to 8031420 its reverse (241308), we get a palindrome (8272728).

The spelling of 8031420 in words is "eight million, thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 139 180 214 270 278 321 417 428 535 540 556 642 695 834 963 1070 1251 1284 1390 1605 1668 1926 2085 2140 2502 2780 2889 3210 3753 3852 4170 4815 5004 5778 6255 6420 7506 8340 9630 11556 12510 14445 14873 15012 18765 19260 25020 28890 29746 37530 44619 57780 59492 74365 75060 89238 133857 148730 178476 223095 267714 297460 401571 446190 535428 669285 803142 892380 1338570 1606284 2007855 2677140 4015710 8031420