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20972288 = 28176179
BaseRepresentation
bin101000000000…
…0001100000000
31110110111120102
41100000030000
520332103123
62025301532
7343155461
oct120001400
943414512
1020972288
1110924877
1270348a8
134463b4c
142adcd68
151c94028
hex1400300

20972288 has 72 divisors (see below), whose sum is σ = 45622080. Its totient is φ = 9584640.

The previous prime is 20972269. The next prime is 20972291. The reversal of 20972288 is 88227902.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265433 + ... + 265511.

It is an arithmetic number, because the mean of its divisors is an integer number (633640).

Almost surely, 220972288 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 20972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22811040).

20972288 is an abundant number, since it is smaller than the sum of its proper divisors (24649792).

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

20972288 is an equidigital number, since it uses as much as digits as its factorization.

20972288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 20972288 is about 4579.5510697010. The cubic root of 20972288 is about 275.7710065872.

The spelling of 20972288 in words is "twenty million, nine hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 79 122 128 136 158 244 256 272 316 488 544 632 976 1037 1088 1264 1343 1952 2074 2176 2528 2686 3904 4148 4352 4819 5056 5372 7808 8296 9638 10112 10744 15616 16592 19276 20224 21488 33184 38552 42976 66368 77104 81923 85952 132736 154208 163846 171904 265472 308416 327692 343808 616832 655384 1233664 1310768 2621536 5243072 10486144 20972288