Search a number
-
+
273920000 = 21254107
BaseRepresentation
bin10000010100111…
…011000000000000
3201002102120121012
4100110323000000
51030110420000
643103020052
76534165404
oct2024730000
9632376535
10273920000
11130691172
127789a628
1344999153
1428545104
15190ab735
hex1053b000

273920000 has 130 divisors (see below), whose sum is σ = 690894468. Its totient is φ = 108544000.

The previous prime is 273919981. The next prime is 273920011. The reversal of 273920000 is 29372.

273920000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2559947 + ... + 2560053.

Almost surely, 2273920000 is an apocalyptic number.

273920000 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 273920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345447234).

273920000 is an abundant number, since it is smaller than the sum of its proper divisors (416974468).

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

273920000 is an frugal number, since it uses more digits than its factorization.

273920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 273920000 is about 16550.5286924618. The cubic root of 273920000 is about 649.4433103439.

Adding to 273920000 its reverse (29372), we get a palindrome (273949372).

The spelling of 273920000 in words is "two hundred seventy-three million, nine hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 107 125 128 160 200 214 250 256 320 400 428 500 512 535 625 640 800 856 1000 1024 1070 1250 1280 1600 1712 2000 2048 2140 2500 2560 2675 3200 3424 4000 4096 4280 5000 5120 5350 6400 6848 8000 8560 10000 10240 10700 12800 13375 13696 16000 17120 20000 20480 21400 25600 26750 27392 32000 34240 40000 42800 51200 53500 54784 64000 66875 68480 80000 85600 102400 107000 109568 128000 133750 136960 160000 171200 214000 219136 256000 267500 273920 320000 342400 428000 438272 512000 535000 547840 640000 684800 856000 1070000 1095680 1280000 1369600 1712000 2140000 2191360 2560000 2739200 3424000 4280000 5478400 6848000 8560000 10956800 13696000 17120000 27392000 34240000 54784000 68480000 136960000 273920000