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21367944 = 23321337617
BaseRepresentation
bin101000110000…
…0110010001000
31111012121022100
41101200302020
520432233234
62041553400
7346424133
oct121406210
944177270
1021367944
1111075064
1271a5860
134571c70
142ba321a
151d21399
hex1460c88

21367944 has 96 divisors (see below), whose sum is σ = 64111320. Its totient is φ = 6386688.

The previous prime is 21367933. The next prime is 21367979. The reversal of 21367944 is 44976312.

It can be written as a sum of positive squares in 4 ways, for example, as 13176900 + 8191044 = 3630^2 + 2862^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (36288) is a multiple of the sum of its prime divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 21367899 and 21367908.

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, 34324 + ... + 34940.

Almost surely, 221367944 is an apocalyptic number.

21367944 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 21367944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32055660).

21367944 is an abundant number, since it is smaller than the sum of its proper divisors (42743376).

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

21367944 is a wasteful number, since it uses less digits than its factorization.

21367944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 21367944 is about 4622.5473496764. The cubic root of 21367944 is about 277.4944143020.

The spelling of 21367944 in words is "twenty-one million, three hundred sixty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 617 666 888 936 962 1234 1332 1443 1851 1924 2468 2664 2886 3702 3848 4329 4936 5553 5772 7404 8021 8658 11106 11544 14808 16042 17316 22212 22829 24063 32084 34632 44424 45658 48126 64168 68487 72189 91316 96252 136974 144378 182632 192504 205461 273948 288756 296777 410922 547896 577512 593554 821844 890331 1187108 1643688 1780662 2374216 2670993 3561324 5341986 7122648 10683972 21367944