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1320389200 = 245213318191
BaseRepresentation
bin100111010110011…
…1000101001010000
310102000112201110201
41032230320221100
510201004423300
6335004304544
744502060124
oct11654705120
93360481421
101320389200
11618363a49
1230a242154
131807265b0
14c750b584
157adbb66a
hex4eb38a50

1320389200 has 120 divisors (see below), whose sum is σ = 3526885376. Its totient is φ = 471744000.

The previous prime is 1320389153. The next prime is 1320389207. The reversal of 1320389200 is 29830231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320389207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157105 + ... + 165295.

Almost surely, 21320389200 is an apocalyptic number.

1320389200 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 1320389200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763442688).

1320389200 is an abundant number, since it is smaller than the sum of its proper divisors (2206496176).

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

1320389200 is a wasteful number, since it uses less digits than its factorization.

1320389200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8253 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1320389200 is about 36337.1600431294. The cubic root of 1320389200 is about 1097.0691123523.

The spelling of 1320389200 in words is "one billion, three hundred twenty million, three hundred eighty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 31 40 50 52 62 65 80 100 104 124 130 155 200 208 248 260 310 325 400 403 496 520 620 650 775 806 1040 1240 1300 1550 1612 2015 2480 2600 3100 3224 4030 5200 6200 6448 8060 8191 10075 12400 16120 16382 20150 32240 32764 40300 40955 65528 80600 81910 106483 131056 161200 163820 204775 212966 253921 327640 409550 425932 507842 532415 655280 819100 851864 1015684 1064830 1269605 1638200 1703728 2031368 2129660 2539210 2662075 3276400 3300973 4062736 4259320 5078420 5324150 6348025 6601946 8518640 10156840 10648300 12696050 13203892 16504865 20313680 21296600 25392100 26407784 33009730 42593200 50784200 52815568 66019460 82524325 101568400 132038920 165048650 264077840 330097300 660194600 1320389200