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2152320320 = 26573199463
BaseRepresentation
bin1000000001001001…
…1100110101000000
312112222222012102102
42000102130311000
513401443222240
6553323405532
7104223264233
oct20022346500
95488865372
102152320320
11a04a24127
125009838a8
13283ba9427
14165bc941a
15c8e4e815
hex8049cd40

2152320320 has 112 divisors (see below), whose sum is σ = 5232806400. Its totient is φ = 843042816.

The previous prime is 2152320281. The next prime is 2152320337. The reversal of 2152320320 is 230232512.

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 = 2152320292 and 2152320301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4648409 + ... + 4648871.

Almost surely, 22152320320 is an apocalyptic number.

2152320320 is a gapful number since it is divisible by the number (20) 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 2152320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616403200).

2152320320 is an abundant number, since it is smaller than the sum of its proper divisors (3080486080).

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

2152320320 is a wasteful number, since it uses less digits than its factorization.

2152320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2152320320 is about 46393.1063844619. The cubic root of 2152320320 is about 1291.1270162105.

Adding to 2152320320 its reverse (230232512), we get a palindrome (2382552832).

The spelling of 2152320320 in words is "two billion, one hundred fifty-two million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 199 292 320 365 398 463 584 730 796 926 995 1168 1460 1592 1852 1990 2315 2336 2920 3184 3704 3980 4630 4672 5840 6368 7408 7960 9260 11680 12736 14527 14816 15920 18520 23360 29054 29632 31840 33799 37040 58108 63680 67598 72635 74080 92137 116216 135196 145270 148160 168995 184274 232432 270392 290540 337990 368548 460685 464864 540784 581080 675980 737096 921370 929728 1081568 1162160 1351960 1474192 1842740 2163136 2324320 2703920 2948384 3685480 4648640 5407840 5896768 6726001 7370960 10815680 13452002 14741920 26904004 29483840 33630005 53808008 67260010 107616016 134520020 215232032 269040040 430464064 538080080 1076160160 2152320320