Search a number
-
+
21039648 = 2537131239
BaseRepresentation
bin101000001000…
…0101000100000
31110120220222020
41100100220200
520341232043
62030541440
7343556040
oct120205040
943526866
1021039648
1110970443
127067880
1344886c6
142b19720
151ca8e83
hex1410a20

21039648 has 96 divisors (see below), whose sum is σ = 63866880. Its totient is φ = 5940480.

The previous prime is 21039647. The next prime is 21039649. The reversal of 21039648 is 84693012.

It is an interprime number because it is at equal distance from previous prime (21039647) and next prime (21039649).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (21039647) 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, 87913 + ... + 88151.

It is an arithmetic number, because the mean of its divisors is an integer number (665280).

Almost surely, 221039648 is an apocalyptic number.

21039648 is a gapful number since it is divisible by the number (28) 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 21039648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933440).

21039648 is an abundant number, since it is smaller than the sum of its proper divisors (42827232).

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

21039648 is a wasteful number, since it uses less digits than its factorization.

21039648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 21039648 is about 4586.8996064880. The cubic root of 21039648 is about 276.0659367773.

The spelling of 21039648 in words is "twenty-one million, thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 131 168 224 239 262 336 393 478 524 672 717 786 917 956 1048 1434 1572 1673 1834 1912 2096 2751 2868 3144 3346 3668 3824 4192 5019 5502 5736 6288 6692 7336 7648 10038 11004 11472 12576 13384 14672 20076 22008 22944 26768 29344 31309 40152 44016 53536 62618 80304 88032 93927 125236 160608 187854 219163 250472 375708 438326 500944 657489 751416 876652 1001888 1314978 1502832 1753304 2629956 3005664 3506608 5259912 7013216 10519824 21039648