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1320220500 = 223534121467
BaseRepresentation
bin100111010110000…
…1111011101010100
310102000020011001120
41032230033131110
510200434024000
6335000523540
744500455234
oct11654173524
93360204046
101320220500
11618259225
1230a1805b0
13180697881
14c74a5cc4
157ad866a0
hex4eb0f754

1320220500 has 96 divisors (see below), whose sum is σ = 3938433408. Its totient is φ = 343456000.

The previous prime is 1320220481. The next prime is 1320220523. The reversal of 1320220500 is 50220231.

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 1320220500.

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 31 ways as a sum of consecutive naturals, for example, 50767 + ... + 72233.

It is an arithmetic number, because the mean of its divisors is an integer number (41025348).

Almost surely, 21320220500 is an apocalyptic number.

1320220500 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 1320220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969216704).

1320220500 is an abundant number, since it is smaller than the sum of its proper divisors (2618212908).

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

1320220500 is a wasteful number, since it uses less digits than its factorization.

1320220500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21530 (or 21518 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1320220500 is about 36334.8386538319. The cubic root of 1320220500 is about 1097.0223878860.

Adding to 1320220500 its reverse (50220231), we get a palindrome (1370440731).

The spelling of 1320220500 in words is "one billion, three hundred twenty million, two hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 125 150 164 205 246 250 300 375 410 492 500 615 750 820 1025 1230 1500 2050 2460 3075 4100 5125 6150 10250 12300 15375 20500 21467 30750 42934 61500 64401 85868 107335 128802 214670 257604 322005 429340 536675 644010 880147 1073350 1288020 1610025 1760294 2146700 2640441 2683375 3220050 3520588 4400735 5280882 5366750 6440100 8050125 8801470 10561764 10733500 13202205 16100250 17602940 22003675 26404410 32200500 44007350 52808820 66011025 88014700 110018375 132022050 220036750 264044100 330055125 440073500 660110250 1320220500