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21097152 = 263329421
BaseRepresentation
bin101000001111…
…0101011000000
31110200211212000
41100132223000
520400102102
62032104000
7344215506
oct120365300
943624760
1021097152
11109aa66a
127095000
1344a892b
142b32676
151cbb01c
hex141eac0

21097152 has 112 divisors (see below), whose sum is σ = 64312800. Its totient is φ = 6773760.

The previous prime is 21097129. The next prime is 21097159. The reversal of 21097152 is 25179012.

It is a super-2 number, since 2×210971522 = 890179645022208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21097159) 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, 49902 + ... + 50322.

Almost surely, 221097152 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 21097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32156400).

21097152 is an abundant number, since it is smaller than the sum of its proper divisors (43215648).

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

21097152 is a wasteful number, since it uses less digits than its factorization.

21097152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 21097152 is about 4593.1636156357. The cubic root of 21097152 is about 276.3172156146.

It can be divided in two parts, 2109 and 7152, that added together give a cube (9261 = 213).

The spelling of 21097152 in words is "twenty-one million, ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 421 432 464 522 576 696 783 842 864 928 1044 1263 1392 1566 1684 1728 1856 2088 2526 2784 3132 3368 3789 4176 5052 5568 6264 6736 7578 8352 10104 11367 12209 12528 13472 15156 16704 20208 22734 24418 25056 26944 30312 36627 40416 45468 48836 50112 60624 73254 80832 90936 97672 109881 121248 146508 181872 195344 219762 242496 293016 329643 363744 390688 439524 586032 659286 727488 781376 879048 1172064 1318572 1758096 2344128 2637144 3516192 5274288 7032384 10548576 21097152