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20749872 = 24311133023
BaseRepresentation
bin100111100100…
…1111000110000
31110001012110210
41033021320300
520302443442
62020424120
7341241153
oct117117060
943035423
1020749872
1110792760
126b48040
1343b6840
142a81c9a
151c4d19c
hex13c9e30

20749872 has 80 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 5802240.

The previous prime is 20749837. The next prime is 20749879. The reversal of 20749872 is 27894702.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 20749872.

It is not an unprimeable number, because it can be changed into a prime (20749879) 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, 5353 + ... + 8375.

Almost surely, 220749872 is an apocalyptic number.

20749872 is a gapful number since it is divisible by the number (22) 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 20749872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

20749872 is an abundant number, since it is smaller than the sum of its proper divisors (42246096).

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

20749872 is a wasteful number, since it uses less digits than its factorization.

20749872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 20749872 is about 4555.2027397252. The cubic root of 20749872 is about 274.7926679669.

The spelling of 20749872 in words is "twenty million, seven hundred forty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3023 3432 6046 6864 9069 12092 18138 24184 33253 36276 39299 48368 66506 72552 78598 99759 117897 133012 145104 157196 199518 235794 266024 314392 399036 432289 471588 532048 628784 798072 864578 943176 1296867 1596144 1729156 1886352 2593734 3458312 5187468 6916624 10374936 20749872