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1395720192 = 216331229
BaseRepresentation
bin101001100110001…
…0000000000000000
310121021021221011110
41103030100000000
510324301021232
6350255043320
746405266036
oct12314200000
93537257143
101395720192
11656936269
1232b510540
13193210749
14d351a556
15827ebacc
hex53310000

1395720192 has 136 divisors (see below), whose sum is σ = 3858730240. Its totient is φ = 448266240.

The previous prime is 1395720191. The next prime is 1395720229. The reversal of 1395720192 is 2910275931.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1395720192.

It is not an unprimeable number, because it can be changed into a prime (1395720191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6094734 + ... + 6094962.

Almost surely, 21395720192 is an apocalyptic number.

1395720192 is a gapful number since it is divisible by the number (12) 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 1395720192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929365120).

1395720192 is an abundant number, since it is smaller than the sum of its proper divisors (2463010048).

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

1395720192 is an frugal number, since it uses more digits than its factorization.

1395720192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 1395720192 is about 37359.3387521781. The cubic root of 1395720192 is about 1117.5478323344.

The spelling of 1395720192 in words is "one billion, three hundred ninety-five million, seven hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 229 248 256 372 384 458 496 512 687 744 768 916 992 1024 1374 1488 1536 1832 1984 2048 2748 2976 3072 3664 3968 4096 5496 5952 6144 7099 7328 7936 8192 10992 11904 12288 14198 14656 15872 16384 21297 21984 23808 24576 28396 29312 31744 32768 42594 43968 47616 49152 56792 58624 63488 65536 85188 87936 95232 98304 113584 117248 126976 170376 175872 190464 196608 227168 234496 253952 340752 351744 380928 454336 468992 507904 681504 703488 761856 908672 937984 1015808 1363008 1406976 1523712 1817344 1875968 2031616 2726016 2813952 3047424 3634688 3751936 5452032 5627904 6094848 7269376 7503872 10904064 11255808 14538752 15007744 21808128 22511616 29077504 43616256 45023232 58155008 87232512 116310016 174465024 232620032 348930048 465240064 697860096 1395720192