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1027020420 = 223258368743
BaseRepresentation
bin111101001101110…
…001011010000100
32122120112001011100
4331031301122010
54100404123140
6245524340100
734310346426
oct7515613204
92576461140
101027020420
114877a9708
12247b44630
13134a0abba
149a582816
156026c530
hex3d371684

1027020420 has 72 divisors (see below), whose sum is σ = 3152874816. Its totient is φ = 270568512.

The previous prime is 1027020409. The next prime is 1027020431. The reversal of 1027020420 is 240207201.

1027020420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1027020409) and next prime (1027020431).

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 = 1027020393 and 1027020402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19432 + ... + 49311.

It is an arithmetic number, because the mean of its divisors is an integer number (43789928).

Almost surely, 21027020420 is an apocalyptic number.

1027020420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027020420 is an abundant number, since it is smaller than the sum of its proper divisors (2125854396).

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

1027020420 is a wasteful number, since it uses less digits than its factorization.

1027020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68841 (or 68836 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1027020420 is about 32047.1593124882. The cubic root of 1027020420 is about 1008.9268803486.

Adding to 1027020420 its reverse (240207201), we get a palindrome (1267227621).

The spelling of 1027020420 in words is "one billion, twenty-seven million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 14940 68743 137486 206229 274972 343715 412458 618687 687430 824916 1031145 1237374 1374860 2062290 2474748 3093435 4124580 5705669 6186870 11411338 12373740 17117007 22822676 28528345 34234014 51351021 57056690 68468028 85585035 102702042 114113380 171170070 205404084 256755105 342340140 513510210 1027020420