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20338752 = 263737409
BaseRepresentation
bin100110110010…
…1100001000000
31102021022112010
41031211201000
520201320002
62003532520
7334606440
oct115454100
942238463
1020338752
1110531895
12698a140
1342a1685
1429b6120
151bbb46c
hex1365840

20338752 has 112 divisors (see below), whose sum is σ = 63317120. Its totient is φ = 5640192.

The previous prime is 20338751. The next prime is 20338771. The reversal of 20338752 is 25783302.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (20338751) 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, 49524 + ... + 49932.

Almost surely, 220338752 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 20338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31658560).

20338752 is an abundant number, since it is smaller than the sum of its proper divisors (42978368).

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

20338752 is a wasteful number, since it uses less digits than its factorization.

20338752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 20338752 is about 4509.8505518476. The cubic root of 20338752 is about 272.9657137368.

The spelling of 20338752 in words is "twenty million, three hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 409 444 448 518 592 672 777 818 888 1036 1184 1227 1344 1554 1636 1776 2072 2368 2454 2863 3108 3272 3552 4144 4908 5726 6216 6544 7104 8288 8589 9816 11452 12432 13088 15133 16576 17178 19632 22904 24864 26176 30266 34356 39264 45399 45808 49728 60532 68712 78528 90798 91616 105931 121064 137424 181596 183232 211862 242128 274848 317793 363192 423724 484256 549696 635586 726384 847448 968512 1271172 1452768 1694896 2542344 2905536 3389792 5084688 6779584 10169376 20338752