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21148608 = 2631337229
BaseRepresentation
bin101000010101…
…1001111000000
31110210110102210
41100223033000
520403223413
62033142120
7344521515
oct120531700
943713383
1021148608
1110a35298
1270ba940
1344c6190
142b4730c
151ccb3c3
hex142b3c0

21148608 has 112 divisors (see below), whose sum is σ = 62158880. Its totient is φ = 6303744.

The previous prime is 21148601. The next prime is 21148667. The reversal of 21148608 is 80684112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21148601) 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, 92238 + ... + 92466.

It is an arithmetic number, because the mean of its divisors is an integer number (554990).

Almost surely, 221148608 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 21148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31079440).

21148608 is an abundant number, since it is smaller than the sum of its proper divisors (41010272).

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

21148608 is a wasteful number, since it uses less digits than its factorization.

21148608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 21148608 is about 4598.7615724236. The cubic root of 21148608 is about 276.5416793225.

The spelling of 21148608 in words is "twenty-one million, one hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 148 156 192 208 222 229 296 312 416 444 458 481 592 624 687 832 888 916 962 1184 1248 1374 1443 1776 1832 1924 2368 2496 2748 2886 2977 3552 3664 3848 5496 5772 5954 7104 7328 7696 8473 8931 10992 11544 11908 14656 15392 16946 17862 21984 23088 23816 25419 30784 33892 35724 43968 46176 47632 50838 67784 71448 92352 95264 101676 110149 135568 142896 190528 203352 220298 271136 285792 330447 406704 440596 542272 571584 660894 813408 881192 1321788 1626816 1762384 2643576 3524768 5287152 7049536 10574304 21148608