Search a number
-
+
65135232 = 273347401
BaseRepresentation
bin1111100001111…
…0001010000000
311112120012202000
43320132022000
5113133311412
610244024000
71420432431
oct370361200
9145505660
1065135232
1133849078
1219992000
1310657476
148917488
155ab94dc
hex3e1e280

65135232 has 128 divisors (see below), whose sum is σ = 196819200. Its totient is φ = 21196800.

The previous prime is 65135221. The next prime is 65135293. The reversal of 65135232 is 23253156.

65135232 is a `hidden beast` number, since 651 + 3 + 5 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 65135196 and 65135205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162232 + ... + 162632.

It is an arithmetic number, because the mean of its divisors is an integer number (1537650).

Almost surely, 265135232 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 65135232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98409600).

65135232 is an abundant number, since it is smaller than the sum of its proper divisors (131683968).

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

65135232 is a wasteful number, since it uses less digits than its factorization.

65135232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 453 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 65135232 is about 8070.6401233112. The cubic root of 65135232 is about 402.3512190102.

Adding to 65135232 its reverse (23253156), we get a palindrome (88388388).

The spelling of 65135232 in words is "sixty-five million, one hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 282 288 376 384 401 423 432 564 576 752 802 846 864 1128 1152 1203 1269 1504 1604 1692 1728 2256 2406 2538 3008 3208 3384 3456 3609 4512 4812 5076 6016 6416 6768 7218 9024 9624 10152 10827 12832 13536 14436 18048 18847 19248 20304 21654 25664 27072 28872 37694 38496 40608 43308 51328 54144 56541 57744 75388 76992 81216 86616 113082 115488 150776 153984 162432 169623 173232 226164 230976 301552 339246 346464 452328 461952 508869 603104 678492 692928 904656 1017738 1206208 1356984 1385856 1809312 2035476 2412416 2713968 3618624 4070952 5427936 7237248 8141904 10855872 16283808 21711744 32567616 65135232