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1014210320 = 24570917881
BaseRepresentation
bin111100011100111…
…001111100010000
32121200102020000012
4330130321330100
54034114212240
6244350014052
734063434254
oct7434717420
92550366005
101014210320
1148054a252
122437a7328
13132174266
14989aa264
155e08bb65
hex3c739f10

1014210320 has 40 divisors (see below), whose sum is σ = 2361496920. Its totient is φ = 405089280.

The previous prime is 1014210299. The next prime is 1014210347. The reversal of 1014210320 is 230124101.

It can be written as a sum of positive squares in 4 ways, for example, as 2715904 + 1011494416 = 1648^2 + 31804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1014210295 and 1014210304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47780 + ... + 65660.

It is an arithmetic number, because the mean of its divisors is an integer number (59037423).

Almost surely, 21014210320 is an apocalyptic number.

1014210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014210320 is an abundant number, since it is smaller than the sum of its proper divisors (1347286600).

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

1014210320 is a wasteful number, since it uses less digits than its factorization.

1014210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18603 (or 18597 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1014210320 is about 31846.6688995882. The cubic root of 1014210320 is about 1004.7145117828.

Adding to 1014210320 its reverse (230124101), we get a palindrome (1244334421).

The spelling of 1014210320 in words is "one billion, fourteen million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 709 1418 2836 3545 5672 7090 11344 14180 17881 28360 35762 56720 71524 89405 143048 178810 286096 357620 715240 1430480 12677629 25355258 50710516 63388145 101421032 126776290 202842064 253552580 507105160 1014210320