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1320332420 = 2251119378537
BaseRepresentation
bin100111010110010…
…1010110010000100
310102000102211120202
41032230222302010
510201001114140
6335003150032
744501432441
oct11654526204
93360384522
101320332420
11618325320
1230a215318
131807067b4
14c74d49c8
157ada9915
hex4eb2ac84

1320332420 has 96 divisors (see below), whose sum is σ = 3270395520. Its totient is φ = 442506240.

The previous prime is 1320332417. The next prime is 1320332423. The reversal of 1320332420 is 242330231.

It is an interprime number because it is at equal distance from previous prime (1320332417) and next prime (1320332423).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1320332392 and 1320332401.

It is not an unprimeable number, because it can be changed into a prime (1320332423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150392 + ... + 158928.

It is an arithmetic number, because the mean of its divisors is an integer number (34066620).

Almost surely, 21320332420 is an apocalyptic number.

1320332420 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 1320332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635197760).

1320332420 is an abundant number, since it is smaller than the sum of its proper divisors (1950063100).

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

1320332420 is a wasteful number, since it uses less digits than its factorization.

1320332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8613 (or 8611 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1320332420 is about 36336.3787408707. The cubic root of 1320332420 is about 1097.0533865655.

Adding to 1320332420 its reverse (242330231), we get a palindrome (1562662651).

The spelling of 1320332420 in words is "one billion, three hundred twenty million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 37 38 44 55 74 76 95 110 148 185 190 209 220 370 380 407 418 703 740 814 836 1045 1406 1628 2035 2090 2812 3515 4070 4180 7030 7733 8140 8537 14060 15466 17074 30932 34148 38665 42685 77330 85370 93907 154660 162203 170740 187814 315869 324406 375628 469535 631738 648812 811015 939070 1263476 1579345 1622030 1784233 1878140 3158690 3244060 3474559 3568466 6001511 6317380 6949118 7136932 8921165 12003022 13898236 17372795 17842330 24006044 30007555 34745590 35684660 60015110 66016621 69491180 120030220 132033242 264066484 330083105 660166210 1320332420