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81502960 = 245711101131
BaseRepresentation
bin1001101101110…
…10001011110000
312200100210001011
410312322023300
5131331043320
612030520304
72006522650
oct466721360
9180323034
1081502960
1142008420
1223366094
1313b68506
14ab78360
15724e05a
hex4dba2f0

81502960 has 160 divisors (see below), whose sum is σ = 240413184. Its totient is φ = 24960000.

The previous prime is 81502943. The next prime is 81502969. The reversal of 81502960 is 6920518.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81502969) 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, 622095 + ... + 622225.

Almost surely, 281502960 is an apocalyptic number.

81502960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81502960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120206592).

81502960 is an abundant number, since it is smaller than the sum of its proper divisors (158910224).

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

81502960 is a wasteful number, since it uses less digits than its factorization.

81502960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 81502960 is about 9027.8989803830. The cubic root of 81502960 is about 433.5685718156.

The spelling of 81502960 in words is "eighty-one million, five hundred two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 101 110 112 131 140 154 176 202 220 262 280 308 385 404 440 505 524 560 616 655 707 770 808 880 917 1010 1048 1111 1232 1310 1414 1441 1540 1616 1834 2020 2096 2222 2620 2828 2882 3080 3535 3668 4040 4444 4585 5240 5555 5656 5764 6160 7070 7205 7336 7777 8080 8888 9170 10087 10480 11110 11312 11528 13231 14140 14410 14672 15554 17776 18340 20174 22220 23056 26462 28280 28820 31108 36680 38885 40348 44440 50435 52924 56560 57640 62216 66155 73360 77770 80696 88880 92617 100870 105848 115280 124432 132310 145541 155540 161392 185234 201740 211696 264620 291082 311080 370468 403480 463085 529240 582164 622160 727705 740936 806960 926170 1018787 1058480 1164328 1455410 1481872 1852340 2037574 2328656 2910820 3704680 4075148 5093935 5821640 7409360 8150296 10187870 11643280 16300592 20375740 40751480 81502960