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81528720 = 24357133733
BaseRepresentation
bin1001101110000…
…00011110010000
312200102002101020
410313000132100
5131332404340
612031235440
72006661030
oct467003620
9180362336
1081528720
1142025809
1223378b80
1313b77160
14ab838c0
1572569d0
hex4dc0790

81528720 has 160 divisors (see below), whose sum is σ = 311146752. Its totient is φ = 17197056.

The previous prime is 81528703. The next prime is 81528761. The reversal of 81528720 is 2782518.

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 31 ways as a sum of consecutive naturals, for example, 19974 + ... + 23706.

Almost surely, 281528720 is an apocalyptic number.

81528720 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 81528720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155573376).

81528720 is an abundant number, since it is smaller than the sum of its proper divisors (229618032).

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

81528720 is a wasteful number, since it uses less digits than its factorization.

81528720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 81528720 is about 9029.3255562085. The cubic root of 81528720 is about 433.6142452077.

The spelling of 81528720 in words is "eighty-one million, five hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 3733 4368 5460 7280 7466 10920 11199 14932 18665 21840 22398 26131 29864 37330 44796 48529 52262 55995 59728 74660 78393 89592 97058 104524 111990 130655 145587 149320 156786 179184 194116 209048 223980 242645 261310 291174 298640 313572 339703 388232 391965 418096 447960 485290 522620 582348 627144 679406 727935 776464 783930 895920 970580 1019109 1045240 1164696 1254288 1358812 1455870 1567860 1698515 1941160 2038218 2090480 2329392 2717624 2911740 3135720 3397030 3882320 4076436 5095545 5435248 5823480 6271440 6794060 8152872 10191090 11646960 13588120 16305744 20382180 27176240 40764360 81528720