Search a number
-
+
21473920 = 275132989
BaseRepresentation
bin101000111101…
…0101010000000
31111101222200101
41101322222000
520444131140
62044132144
7350345116
oct121725200
944358611
1021473920
1111137746
127237054
1345ab280
142bcdab6
151d4299a
hex147aa80

21473920 has 128 divisors (see below), whose sum is σ = 57834000. Its totient is φ = 7569408.

The previous prime is 21473909. The next prime is 21473923. The reversal of 21473920 is 2937412.

It can be written as a sum of positive squares in 8 ways, for example, as 2742336 + 18731584 = 1656^2 + 4328^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×214739202 = 922258480332800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21473923) 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, 241236 + ... + 241324.

Almost surely, 221473920 is an apocalyptic number.

21473920 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 21473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28917000).

21473920 is an abundant number, since it is smaller than the sum of its proper divisors (36360080).

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

21473920 is a wasteful number, since it uses less digits than its factorization.

21473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 21473920 is about 4633.9961156652. The cubic root of 21473920 is about 277.9524097754.

The spelling of 21473920 in words is "twenty-one million, four hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 89 104 116 128 130 145 160 178 208 232 260 290 320 356 377 416 445 464 520 580 640 712 754 832 890 928 1040 1157 1160 1424 1508 1664 1780 1856 1885 2080 2314 2320 2581 2848 3016 3560 3712 3770 4160 4628 4640 5162 5696 5785 6032 7120 7540 8320 9256 9280 10324 11392 11570 12064 12905 14240 15080 18512 18560 20648 23140 24128 25810 28480 30160 33553 37024 41296 46280 48256 51620 56960 60320 67106 74048 82592 92560 103240 120640 134212 148096 165184 167765 185120 206480 241280 268424 330368 335530 370240 412960 536848 671060 740480 825920 1073696 1342120 1651840 2147392 2684240 4294784 5368480 10736960 21473920