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20934648 = 2332773569
BaseRepresentation
bin100111111011…
…0111111111000
31110101120221100
41033312333320
520324402043
62024411400
7342640650
oct117667770
943346840
1020934648
11108a9569
127016b60
13444c987
142acd360
151c87cd3
hex13f6ff8

20934648 has 96 divisors (see below), whose sum is σ = 65800800. Its totient is φ = 5889024.

The previous prime is 20934611. The next prime is 20934653. The reversal of 20934648 is 84643902.

It is a happy number.

20934648 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 4 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36508 + ... + 37076.

It is an arithmetic number, because the mean of its divisors is an integer number (685425).

Almost surely, 220934648 is an apocalyptic number.

20934648 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 20934648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32900400).

20934648 is an abundant number, since it is smaller than the sum of its proper divisors (44866152).

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

20934648 is a wasteful number, since it uses less digits than its factorization.

20934648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 20934648 is about 4575.4396510062. The cubic root of 20934648 is about 275.6059278456.

The spelling of 20934648 in words is "twenty million, nine hundred thirty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 569 584 657 876 1022 1138 1314 1533 1707 1752 2044 2276 2628 3066 3414 3983 4088 4552 4599 5121 5256 6132 6828 7966 9198 10242 11949 12264 13656 15932 18396 20484 23898 31864 35847 36792 40968 41537 47796 71694 83074 95592 124611 143388 166148 249222 286776 290759 332296 373833 498444 581518 747666 872277 996888 1163036 1495332 1744554 2326072 2616831 2990664 3489108 5233662 6978216 10467324 20934648