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21130848 = 253337661
BaseRepresentation
bin101000010011…
…0111001100000
31110202120002000
41100212321200
520402141343
62032524000
7344415654
oct120467140
943676060
1021130848
1110a22a12
1270b0600
1344bb07b
142b40a64
151cc5ed3
hex1426e60

21130848 has 96 divisors (see below), whose sum is σ = 63393120. Its totient is φ = 6842880.

The previous prime is 21130843. The next prime is 21130853. The reversal of 21130848 is 84803112.

It is an interprime number because it is at equal distance from previous prime (21130843) and next prime (21130853).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21130843) 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, 31638 + ... + 32298.

It is an arithmetic number, because the mean of its divisors is an integer number (660345).

Almost surely, 221130848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21130848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31696560).

21130848 is an abundant number, since it is smaller than the sum of its proper divisors (42262272).

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

21130848 is a wasteful number, since it uses less digits than its factorization.

21130848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 21130848 is about 4596.8302122223. The cubic root of 21130848 is about 276.4642470288.

The spelling of 21130848 in words is "twenty-one million, one hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 661 666 864 888 999 1184 1322 1332 1776 1983 1998 2644 2664 3552 3966 3996 5288 5328 5949 7932 7992 10576 10656 11898 15864 15984 17847 21152 23796 24457 31728 31968 35694 47592 48914 63456 71388 73371 95184 97828 142776 146742 190368 195656 220113 285552 293484 391312 440226 571104 586968 660339 782624 880452 1173936 1320678 1760904 2347872 2641356 3521808 5282712 7043616 10565424 21130848