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12720000 = 2735453
BaseRepresentation
bin110000100001…
…011110000000
3212221020120010
4300201132000
511224020000
61132344520
7213055356
oct60413600
925836503
1012720000
1171a87a7
124315140
132834937
1419917d6
1511b3d50
hexc21780

12720000 has 160 divisors (see below), whose sum is σ = 43017480. Its totient is φ = 3328000.

The previous prime is 12719977. The next prime is 12720011. The reversal of 12720000 is 2721.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239974 + ... + 240026.

Almost surely, 212720000 is an apocalyptic number.

12720000 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 12720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21508740).

12720000 is an abundant number, since it is smaller than the sum of its proper divisors (30297480).

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

12720000 is an frugal number, since it uses more digits than its factorization.

12720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 12720000 is about 3566.5109000254. The cubic root of 12720000 is about 233.4330639433.

Adding to 12720000 its reverse (2721), we get a palindrome (12722721).

The spelling of 12720000 in words is "twelve million, seven hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 64 75 80 96 100 106 120 125 128 150 159 160 192 200 212 240 250 265 300 318 320 375 384 400 424 480 500 530 600 625 636 640 750 795 800 848 960 1000 1060 1200 1250 1272 1325 1500 1590 1600 1696 1875 1920 2000 2120 2400 2500 2544 2650 3000 3180 3200 3392 3750 3975 4000 4240 4800 5000 5088 5300 6000 6360 6625 6784 7500 7950 8000 8480 9600 10000 10176 10600 12000 12720 13250 15000 15900 16000 16960 19875 20000 20352 21200 24000 25440 26500 30000 31800 33125 33920 39750 40000 42400 48000 50880 53000 60000 63600 66250 79500 80000 84800 99375 101760 106000 120000 127200 132500 159000 169600 198750 212000 240000 254400 265000 318000 397500 424000 508800 530000 636000 795000 848000 1060000 1272000 1590000 2120000 2544000 3180000 4240000 6360000 12720000