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20128752 = 24327191051
BaseRepresentation
bin100110011001…
…0001111110000
31101212122110100
41030302033300
520123110002
61555232400
7333043260
oct114621760
941778410
1020128752
11103a9036
1268a8700
134229c07
14295d7a0
151b7911c
hex13323f0

20128752 has 120 divisors (see below), whose sum is σ = 67832960. Its totient is φ = 5443200.

The previous prime is 20128751. The next prime is 20128763. The reversal of 20128752 is 25782102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20128751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18627 + ... + 19677.

Almost surely, 220128752 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 20128752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33916480).

20128752 is an abundant number, since it is smaller than the sum of its proper divisors (47704208).

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

20128752 is a wasteful number, since it uses less digits than its factorization.

20128752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 20128752 is about 4486.5077733132. The cubic root of 20128752 is about 272.0229940192.

The spelling of 20128752 in words is "twenty million, one hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1051 1064 1197 1368 1596 2102 2128 2394 2736 3153 3192 4204 4788 6306 6384 7357 8408 9459 9576 12612 14714 16816 18918 19152 19969 22071 25224 29428 37836 39938 44142 50448 58856 59907 66213 75672 79876 88284 117712 119814 132426 139783 151344 159752 176568 179721 239628 264852 279566 319504 353136 359442 419349 479256 529704 559132 718884 838698 958512 1059408 1118264 1258047 1437768 1677396 2236528 2516094 2875536 3354792 5032188 6709584 10064376 20128752