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1396081200 = 243527315937
BaseRepresentation
bin101001100110110…
…1000001000110000
310121021222021101010
41103031220020300
510324344044300
6350310510520
746411331403
oct12315501060
93537867333
101396081200
11657062518
1232b665440
13193308b67
14d35b1d3a
158286da50
hex53368230

1396081200 has 120 divisors (see below), whose sum is σ = 4533659728. Its totient is φ = 367165440.

The previous prime is 1396081189. The next prime is 1396081229. The reversal of 1396081200 is 21806931.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79632 + ... + 95568.

Almost surely, 21396081200 is an apocalyptic number.

1396081200 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 1396081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266829864).

1396081200 is an abundant number, since it is smaller than the sum of its proper divisors (3137578528).

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

1396081200 is a wasteful number, since it uses less digits than its factorization.

1396081200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16031 (or 16020 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1396081200 is about 37364.1700028249. The cubic root of 1396081200 is about 1117.6441766044.

The spelling of 1396081200 in words is "one billion, three hundred ninety-six million, eighty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 73 75 80 100 120 146 150 200 219 240 292 300 365 400 438 584 600 730 876 1095 1168 1200 1460 1752 1825 2190 2920 3504 3650 4380 5475 5840 7300 8760 10950 14600 15937 17520 21900 29200 31874 43800 47811 63748 79685 87600 95622 127496 159370 191244 239055 254992 318740 382488 398425 478110 637480 764976 796850 956220 1163401 1195275 1274960 1593700 1912440 2326802 2390550 3187400 3490203 3824880 4653604 4781100 5817005 6374800 6980406 9307208 9562200 11634010 13960812 17451015 18614416 19124400 23268020 27921624 29085025 34902030 46536040 55843248 58170050 69804060 87255075 93072080 116340100 139608120 174510150 232680200 279216240 349020300 465360400 698040600 1396081200