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12077920 = 2551929137
BaseRepresentation
bin101110000100…
…101101100000
3211201121210101
4232010231200
511042443140
61110512144
7204442411
oct56045540
924647711
1012077920
1168aa358
124065654
13266b5ca
141865808
1510d899a
hexb84b60

12077920 has 96 divisors (see below), whose sum is σ = 31298400. Its totient is φ = 4386816.

The previous prime is 12077917. The next prime is 12077927. The reversal of 12077920 is 2977021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12077927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88092 + ... + 88228.

It is an arithmetic number, because the mean of its divisors is an integer number (326025).

Almost surely, 212077920 is an apocalyptic number.

12077920 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 12077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649200).

12077920 is an abundant number, since it is smaller than the sum of its proper divisors (19220480).

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

12077920 is a wasteful number, since it uses less digits than its factorization.

12077920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 12077920 is about 3475.3302001393. The cubic root of 12077920 is about 229.4373138837.

The spelling of 12077920 in words is "twelve million, seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 76 80 95 116 137 145 152 160 190 232 274 290 304 380 464 548 551 580 608 685 760 928 1096 1102 1160 1370 1520 2192 2204 2320 2603 2740 2755 3040 3973 4384 4408 4640 5206 5480 5510 7946 8816 10412 10960 11020 13015 15892 17632 19865 20824 21920 22040 26030 31784 39730 41648 44080 52060 63568 75487 79460 83296 88160 104120 127136 150974 158920 208240 301948 317840 377435 416480 603896 635680 754870 1207792 1509740 2415584 3019480 6038960 12077920