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20514528 = 25321923163
BaseRepresentation
bin100111001000…
…0011011100000
31102121020122100
41032100123200
520222431103
62011410400
7336241056
oct116203340
942536570
1020514528
1110641961
126a53a00
134333698
142a201d6
151c035a3
hex13906e0

20514528 has 144 divisors (see below), whose sum is σ = 64471680. Its totient is φ = 6158592.

The previous prime is 20514523. The next prime is 20514541. The reversal of 20514528 is 82541502.

It is a happy number.

20514528 is a `hidden beast` number, since 205 + 1 + 452 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20514521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125775 + ... + 125937.

It is an arithmetic number, because the mean of its divisors is an integer number (447720).

Almost surely, 220514528 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 20514528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32235840).

20514528 is an abundant number, since it is smaller than the sum of its proper divisors (43957152).

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

20514528 is a wasteful number, since it uses less digits than its factorization.

20514528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 20514528 is about 4529.2966341365. The cubic root of 20514528 is about 273.7498204790.

The spelling of 20514528 in words is "twenty million, five hundred fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 32 36 38 46 48 57 69 72 76 92 96 114 138 144 152 163 171 184 207 228 276 288 304 326 342 368 414 437 456 489 552 608 652 684 736 828 874 912 978 1104 1304 1311 1368 1467 1656 1748 1824 1956 2208 2608 2622 2736 2934 3097 3312 3496 3749 3912 3933 5216 5244 5472 5868 6194 6624 6992 7498 7824 7866 9291 10488 11247 11736 12388 13984 14996 15648 15732 18582 20976 22494 23472 24776 27873 29992 31464 33741 37164 41952 44988 46944 49552 55746 59984 62928 67482 71231 74328 89976 99104 111492 119968 125856 134964 142462 148656 179952 213693 222984 269928 284924 297312 359904 427386 445968 539856 569848 641079 854772 891936 1079712 1139696 1282158 1709544 2279392 2564316 3419088 5128632 6838176 10257264 20514528