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20230272 = 2732171033
BaseRepresentation
bin100110100101…
…1000010000000
31102001210201100
41031023002000
520134332042
62001334400
7333645246
oct115130200
942053640
1020230272
1110468337
126937400
13426419a
142988796
151b9924c
hex134b080

20230272 has 96 divisors (see below), whose sum is σ = 61698780. Its totient is φ = 6340608.

The previous prime is 20230267. The next prime is 20230297. The reversal of 20230272 is 27203202.

It can be written as a sum of positive squares in 2 ways, for example, as 16451136 + 3779136 = 4056^2 + 1944^2 .

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19068 + ... + 20100.

Almost surely, 220230272 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 20230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30849390).

20230272 is an abundant number, since it is smaller than the sum of its proper divisors (41468508).

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

20230272 is a wasteful number, since it uses less digits than its factorization.

20230272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 20230272 is about 4497.8074658660. The cubic root of 20230272 is about 272.4795462021.

Adding to 20230272 its reverse (27203202), we get a palindrome (47433474).

It can be divided in two parts, 20230 and 272, that added together give a palindrome (20502).

The spelling of 20230272 in words is "twenty million, two hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1033 1088 1152 1224 1632 2066 2176 2448 3099 3264 4132 4896 6198 6528 8264 9297 9792 12396 16528 17561 18594 19584 24792 33056 35122 37188 49584 52683 66112 70244 74376 99168 105366 132224 140488 148752 158049 198336 210732 280976 297504 316098 396672 421464 561952 595008 632196 842928 1123904 1190016 1264392 1685856 2247808 2528784 3371712 5057568 6743424 10115136 20230272