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12073400 = 2352175367
BaseRepresentation
bin101110000011…
…100110111000
3211201101120222
4232003212320
511042322100
61110435212
7204423263
oct56034670
924641528
1012073400
1168a6a19
124062b08
132669531
141863cda
1510d7485
hexb839b8

12073400 has 96 divisors (see below), whose sum is σ = 30734640. Its totient is φ = 4392960.

The previous prime is 12073387. The next prime is 12073403. The reversal of 12073400 is 437021.

It is a happy number.

12073400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180167 + ... + 180233.

Almost surely, 212073400 is an apocalyptic number.

12073400 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 12073400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367320).

12073400 is an abundant number, since it is smaller than the sum of its proper divisors (18661240).

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

12073400 is a wasteful number, since it uses less digits than its factorization.

12073400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 12073400 is about 3474.6798413667. The cubic root of 12073400 is about 229.4086890307.

The spelling of 12073400 in words is "twelve million, seventy-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 53 67 68 85 100 106 134 136 170 200 212 265 268 335 340 424 425 530 536 670 680 850 901 1060 1139 1325 1340 1675 1700 1802 2120 2278 2650 2680 3350 3400 3551 3604 4505 4556 5300 5695 6700 7102 7208 9010 9112 10600 11390 13400 14204 17755 18020 22525 22780 28408 28475 35510 36040 45050 45560 56950 60367 71020 88775 90100 113900 120734 142040 177550 180200 227800 241468 301835 355100 482936 603670 710200 1207340 1509175 2414680 3018350 6036700 12073400