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12921900 = 22352192267
BaseRepresentation
bin110001010010…
…110000101100
3220022111111220
4301102300230
511302000100
61140543340
7214556115
oct61226054
926274456
1012921900
117326462
1243b1b50
1328a57c4
141a0520c
151203aa0
hexc52c2c

12921900 has 72 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 3263040.

The previous prime is 12921893. The next prime is 12921901. The reversal of 12921900 is 912921.

12921900 = T334 + T335 + ... + T485.

It is a super-2 number, since 2×129219002 = 333950999220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12921901) 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, 4567 + ... + 6833.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 212921900 is an apocalyptic number.

12921900 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 12921900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

12921900 is an abundant number, since it is smaller than the sum of its proper divisors (26450580).

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

12921900 is a wasteful number, since it uses less digits than its factorization.

12921900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 12921900 is about 3594.7044384761. The cubic root of 12921900 is about 234.6616528213.

The spelling of 12921900 in words is "twelve million, nine hundred twenty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2267 2850 4534 5700 6801 9068 11335 13602 22670 27204 34005 43073 45340 56675 68010 86146 113350 129219 136020 170025 172292 215365 226700 258438 340050 430730 516876 646095 680100 861460 1076825 1292190 2153650 2584380 3230475 4307300 6460950 12921900