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96662880 = 25325193533
BaseRepresentation
bin1011100001011…
…11010101100000
320201212222112200
411300233111200
5144221203010
613331453200
72252422656
oct560572540
9221788480
1096662880
114a622286
1228457200
1317045892
14cba2dd6
158745cc0
hex5c2f560

96662880 has 144 divisors (see below), whose sum is σ = 347321520. Its totient is φ = 24413184.

The previous prime is 96662849. The next prime is 96662897. The reversal of 96662880 is 8826669.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25594 + ... + 29126.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 296662880 is an apocalyptic number.

96662880 is a gapful number since it is divisible by the number (90) 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 96662880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

96662880 is an abundant number, since it is smaller than the sum of its proper divisors (250658640).

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

96662880 is a wasteful number, since it uses less digits than its factorization.

96662880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 96662880 is about 9831.7282305808. The cubic root of 96662880 is about 458.9371808030.

It can be divided in two parts, 96 and 662880, that added together give a triangular number (662976 = T1151).

The spelling of 96662880 in words is "ninety-six million, six hundred sixty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 3533 4560 5472 6840 7066 9120 10599 13680 14132 17665 21198 27360 28264 31797 35330 42396 52995 56528 63594 67127 70660 84792 105990 113056 127188 134254 141320 158985 169584 201381 211980 254376 268508 282640 317970 335635 339168 402762 423960 508752 537016 565280 604143 635940 671270 805524 847920 1006905 1017504 1074032 1208286 1271880 1342540 1611048 1695840 2013810 2148064 2416572 2543760 2685080 3020715 3222096 4027620 4833144 5087520 5370160 6041430 6444192 8055240 9666288 10740320 12082860 16110480 19332576 24165720 32220960 48331440 96662880