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21274000 = 245311967
BaseRepresentation
bin101000100100…
…1110110010000
31111000211102221
41101021312100
520421232000
62035550424
7345553216
oct121116620
944024387
1021274000
1111010520
12715b414
13453b287
142b7acb6
151d0361a
hex1449d90

21274000 has 80 divisors (see below), whose sum is σ = 56174976. Its totient is φ = 7728000.

The previous prime is 21273997. The next prime is 21274009. The reversal of 21274000 is 47212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21274009) 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, 21517 + ... + 22483.

Almost surely, 221274000 is an apocalyptic number.

21274000 is a gapful number since it is divisible by the number (20) 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 21274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28087488).

21274000 is an abundant number, since it is smaller than the sum of its proper divisors (34900976).

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

21274000 is a wasteful number, since it uses less digits than its factorization.

21274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 21274000 is about 4612.3746595436. The cubic root of 21274000 is about 277.0871495256.

The spelling of 21274000 in words is "twenty-one million, two hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 967 1000 1100 1375 1934 2000 2200 2750 3868 4400 4835 5500 7736 9670 10637 11000 15472 19340 21274 22000 24175 38680 42548 48350 53185 77360 85096 96700 106370 120875 170192 193400 212740 241750 265925 386800 425480 483500 531850 850960 967000 1063700 1329625 1934000 2127400 2659250 4254800 5318500 10637000 21274000