Search a number
-
+
81960528 = 243131931223
BaseRepresentation
bin1001110001010…
…01111001010000
312201020000201010
410320221321100
5131440214103
612044410520
72013436656
oct470517120
9181200633
1081960528
11422a0181
1223546a40
1313c98870
14ac56dd6
1572de903
hex4e29e50

81960528 has 160 divisors (see below), whose sum is σ = 248872960. Its totient is φ = 23016960.

The previous prime is 81960521. The next prime is 81960539. The reversal of 81960528 is 82506918.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81960521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367425 + ... + 367647.

It is an arithmetic number, because the mean of its divisors is an integer number (1555456).

Almost surely, 281960528 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 81960528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124436480).

81960528 is an abundant number, since it is smaller than the sum of its proper divisors (166912432).

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

81960528 is a wasteful number, since it uses less digits than its factorization.

81960528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 81960528 is about 9053.2053991943. The cubic root of 81960528 is about 434.3784278873.

The spelling of 81960528 in words is "eighty-one million, nine hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 31 38 39 48 52 57 62 76 78 93 104 114 124 152 156 186 208 223 228 247 248 304 312 372 403 446 456 494 496 589 624 669 741 744 806 892 912 988 1178 1209 1338 1482 1488 1612 1767 1784 1976 2356 2418 2676 2899 2964 3224 3534 3568 3952 4237 4712 4836 5352 5798 5928 6448 6913 7068 7657 8474 8697 9424 9672 10704 11596 11856 12711 13826 14136 15314 16948 17394 19344 20739 22971 23192 25422 27652 28272 30628 33896 34788 41478 45942 46384 50844 55081 55304 61256 67792 69576 82956 89869 91884 101688 110162 110608 122512 131347 139152 165243 165912 179738 183768 203376 220324 262694 269607 330486 331824 359476 367536 394041 440648 525388 539214 660972 718952 788082 881296 1050776 1078428 1321944 1437904 1576164 1707511 2101552 2156856 2643888 3152328 3415022 4313712 5122533 6304656 6830044 10245066 13660088 20490132 27320176 40980264 81960528