Search a number
-
+
21396144 = 2437211827
BaseRepresentation
bin101000110011…
…1101010110000
31111021000222210
41101213222300
520434134034
62042332120
7346602300
oct121475260
944230883
1021396144
1111094270
1271ba040
134581a53
142bad600
151d298e9
hex1467ab0

21396144 has 120 divisors (see below), whose sum is σ = 70227648. Its totient is φ = 5550720.

The previous prime is 21396119. The next prime is 21396161. The reversal of 21396144 is 44169312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25459 + ... + 26285.

Almost surely, 221396144 is an apocalyptic number.

21396144 is a gapful number since it is divisible by the number (24) 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 21396144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35113824).

21396144 is an abundant number, since it is smaller than the sum of its proper divisors (48831504).

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

21396144 is a wasteful number, since it uses less digits than its factorization.

21396144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 850 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 21396144 is about 4625.5966101682. The cubic root of 21396144 is about 277.6164335683.

The spelling of 21396144 in words is "twenty-one million, three hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 827 924 1078 1176 1232 1617 1654 1848 2156 2352 2481 3234 3308 3696 4312 4962 5789 6468 6616 8624 9097 9924 11578 12936 13232 17367 18194 19848 23156 25872 27291 34734 36388 39696 40523 46312 54582 63679 69468 72776 81046 92624 109164 121569 127358 138936 145552 162092 191037 218328 243138 254716 277872 324184 382074 436656 445753 486276 509432 648368 764148 891506 972552 1018864 1337259 1528296 1783012 1945104 2674518 3056592 3566024 5349036 7132048 10698072 21396144