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12901900 = 22521137317
BaseRepresentation
bin110001001101…
…111000001100
3220021111002011
4301031320030
511300330100
61140311004
7214443604
oct61157014
926244064
1012901900
117312430
1243a2464
13289967b
1419dbc04
1511ecbba
hexc4de0c

12901900 has 72 divisors (see below), whose sum is σ = 31466736. Its totient is φ = 4550400.

The previous prime is 12901879. The next prime is 12901913. The reversal of 12901900 is 910921.

It is a super-2 number, since 2×129019002 = 332918047220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40542 + ... + 40858.

It is an arithmetic number, because the mean of its divisors is an integer number (437038).

Almost surely, 212901900 is an apocalyptic number.

12901900 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 12901900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733368).

12901900 is an abundant number, since it is smaller than the sum of its proper divisors (18564836).

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

12901900 is a wasteful number, since it uses less digits than its factorization.

12901900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 12901900 is about 3591.9214913469. The cubic root of 12901900 is about 234.5405236666.

The spelling of 12901900 in words is "twelve million, nine hundred one thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 317 370 407 550 634 740 814 925 1100 1268 1585 1628 1850 2035 3170 3487 3700 4070 6340 6974 7925 8140 10175 11729 13948 15850 17435 20350 23458 31700 34870 40700 46916 58645 69740 87175 117290 129019 174350 234580 258038 293225 348700 516076 586450 645095 1172900 1290190 2580380 3225475 6450950 12901900