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21995136 = 273261313
BaseRepresentation
bin101001111100…
…1111010000000
31112101110122200
41103321322000
521112321021
62103233200
7354645522
oct123717200
945343580
1021995136
11114632a9
127448800
134731597
142cc7a12
151de7126
hex14f9e80

21995136 has 96 divisors (see below), whose sum is σ = 64536420. Its totient is φ = 7188480.

The previous prime is 21995123. The next prime is 21995143. The reversal of 21995136 is 63159912.

It can be written as a sum of positive squares in 2 ways, for example, as 13838400 + 8156736 = 3720^2 + 2856^2 .

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21995136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70116 + ... + 70428.

Almost surely, 221995136 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 21995136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32268210).

21995136 is an abundant number, since it is smaller than the sum of its proper divisors (42541284).

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

21995136 is a wasteful number, since it uses less digits than its factorization.

21995136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 379 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 21995136 is about 4689.8972270189. The cubic root of 21995136 is about 280.1832813627.

The spelling of 21995136 in words is "twenty-one million, nine hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 313 366 384 488 549 576 626 732 939 976 1098 1152 1252 1464 1878 1952 2196 2504 2817 2928 3756 3904 4392 5008 5634 5856 7512 7808 8784 10016 11268 11712 15024 17568 19093 20032 22536 23424 30048 35136 38186 40064 45072 57279 60096 70272 76372 90144 114558 120192 152744 171837 180288 229116 305488 343674 360576 458232 610976 687348 916464 1221952 1374696 1832928 2443904 2749392 3665856 5498784 7331712 10997568 21995136