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1021351420 = 225316012741
BaseRepresentation
bin111100111000001…
…001010111111100
32122011212000202101
4330320021113330
54042431221140
6245203034444
734211225635
oct7470112774
92564760671
101021351420
11484587491
1224606ba24
131337a476b
149990888c
155e9ec99a
hex3ce095fc

1021351420 has 48 divisors (see below), whose sum is σ = 2218519296. Its totient is φ = 394560000.

The previous prime is 1021351391. The next prime is 1021351433. The reversal of 1021351420 is 241531201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371250 + ... + 373990.

It is an arithmetic number, because the mean of its divisors is an integer number (46219152).

Almost surely, 21021351420 is an apocalyptic number.

1021351420 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 1021351420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109259648).

1021351420 is an abundant number, since it is smaller than the sum of its proper divisors (1197167876).

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

1021351420 is a wasteful number, since it uses less digits than its factorization.

1021351420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1021351420 is about 31958.5891428267. The cubic root of 1021351420 is about 1007.0670787462.

Adding to 1021351420 its reverse (241531201), we get a palindrome (1262882621).

The spelling of 1021351420 in words is "one billion, twenty-one million, three hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 601 620 1202 2404 2741 3005 5482 6010 10964 12020 13705 18631 27410 37262 54820 74524 84971 93155 169942 186310 339884 372620 424855 849710 1647341 1699420 3294682 6589364 8236705 16473410 32946820 51067571 102135142 204270284 255337855 510675710 1021351420