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21906948 = 22371723229
BaseRepresentation
bin101001110010…
…0011000000100
31112012222200110
41103210120010
521102010243
62101313020
7354130440
oct123443004
945188613
1021906948
1111403018
127405770
1347003bb
142ca3820
151dcae33
hex14e4604

21906948 has 144 divisors (see below), whose sum is σ = 66890880. Its totient is φ = 5440512.

The previous prime is 21906917. The next prime is 21906949. The reversal of 21906948 is 84960912.

It is not an unprimeable number, because it can be changed into a prime (21906949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755398 + ... + 755426.

It is an arithmetic number, because the mean of its divisors is an integer number (464520).

Almost surely, 221906948 is an apocalyptic number.

21906948 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 21906948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33445440).

21906948 is an abundant number, since it is smaller than the sum of its proper divisors (44983932).

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

21906948 is a wasteful number, since it uses less digits than its factorization.

21906948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 21906948 is about 4680.4858722146. The cubic root of 21906948 is about 279.8083211939.

The spelling of 21906948 in words is "twenty-one million, nine hundred six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 29 34 42 46 51 58 68 69 84 87 92 102 116 119 138 161 174 203 204 238 276 322 348 357 391 406 476 483 493 529 609 644 667 714 782 812 966 986 1058 1173 1218 1334 1428 1479 1564 1587 1932 1972 2001 2116 2346 2436 2668 2737 2958 3174 3451 3703 4002 4669 4692 5474 5916 6348 6902 7406 8004 8211 8993 9338 10353 10948 11109 11339 13804 14007 14812 15341 16422 17986 18676 20706 22218 22678 26979 28014 30682 32844 34017 35972 41412 44436 45356 46023 53958 56028 61364 62951 68034 79373 92046 107387 107916 125902 136068 158746 184092 188853 214774 238119 251804 260797 317492 322161 377706 429548 476238 521594 644322 755412 782391 952476 1043188 1288644 1564782 1825579 3129564 3651158 5476737 7302316 10953474 21906948