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20938752 = 2153271
BaseRepresentation
bin100111111100…
…0000000000000
31110101210120100
41033320000000
520330020002
62024442400
7342655632
oct117700000
943353510
1020938752
111090165a
127019400
1344517c3
142ad0a52
151c8911c
hex13f8000

20938752 has 96 divisors (see below), whose sum is σ = 61340760. Its totient is φ = 6881280.

The previous prime is 20938751. The next prime is 20938759. The reversal of 20938752 is 25783902.

It is a happy number.

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 zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20938751) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294877 + ... + 294947.

Almost surely, 220938752 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 20938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30670380).

20938752 is an abundant number, since it is smaller than the sum of its proper divisors (40402008).

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

20938752 is an frugal number, since it uses more digits than its factorization.

20938752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 20938752 is about 4575.8881105202. Note that the first 3 decimals coincide. The cubic root of 20938752 is about 275.6239364730.

The spelling of 20938752 in words is "twenty million, nine hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 512 568 576 639 768 852 1024 1136 1152 1278 1536 1704 2048 2272 2304 2556 3072 3408 4096 4544 4608 5112 6144 6816 8192 9088 9216 10224 12288 13632 16384 18176 18432 20448 24576 27264 32768 36352 36864 40896 49152 54528 72704 73728 81792 98304 109056 145408 147456 163584 218112 290816 294912 327168 436224 581632 654336 872448 1163264 1308672 1744896 2326528 2617344 3489792 5234688 6979584 10469376 20938752