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1003212420 = 2235716714303
BaseRepresentation
bin111011110010111…
…100111010000100
32120220201110201120
4323302330322010
54023310244140
6243314153540
733601110360
oct7362747204
92526643646
101003212420
11475318381
1223bb828b0
1312cac3422
14973462a0
155d1181d0
hex3bcbce84

1003212420 has 96 divisors (see below), whose sum is σ = 3229728768. Its totient is φ = 227916672.

The previous prime is 1003212401. The next prime is 1003212433. The reversal of 1003212420 is 242123001.

It is a super-3 number, since 3×10032124203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1003212420.

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 31 ways as a sum of consecutive naturals, for example, 62989 + ... + 77291.

It is an arithmetic number, because the mean of its divisors is an integer number (33643008).

Almost surely, 21003212420 is an apocalyptic number.

1003212420 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 1003212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614864384).

1003212420 is an abundant number, since it is smaller than the sum of its proper divisors (2226516348).

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

1003212420 is a wasteful number, since it uses less digits than its factorization.

1003212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14489 (or 14487 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1003212420 is about 31673.5286951107. The cubic root of 1003212420 is about 1001.0696620817.

Adding to 1003212420 its reverse (242123001), we get a palindrome (1245335421).

The spelling of 1003212420 in words is "one billion, three million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 167 210 334 420 501 668 835 1002 1169 1670 2004 2338 2505 3340 3507 4676 5010 5845 7014 10020 11690 14028 14303 17535 23380 28606 35070 42909 57212 70140 71515 85818 100121 143030 171636 200242 214545 286060 300363 400484 429090 500605 600726 858180 1001210 1201452 1501815 2002420 2388601 3003630 4777202 6007260 7165803 9554404 11943005 14331606 16720207 23886010 28663212 33440414 35829015 47772020 50160621 66880828 71658030 83601035 100321242 143316060 167202070 200642484 250803105 334404140 501606210 1003212420