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96678900 = 22335261587
BaseRepresentation
bin1011100001100…
…11001111110100
320201220210112000
411300303033310
5144222211100
613332055300
72252520453
oct560631764
9221823460
1096678900
114a63331a
1228464530
131704cc66
14cba8b9a
15874a900
hex5c333f4

96678900 has 144 divisors (see below), whose sum is σ = 316438080. Its totient is φ = 25315200.

The previous prime is 96678899. The next prime is 96678929. The reversal of 96678900 is 987669.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164407 + ... + 164993.

Almost surely, 296678900 is an apocalyptic number.

96678900 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 96678900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158219040).

96678900 is an abundant number, since it is smaller than the sum of its proper divisors (219759180).

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

96678900 is a wasteful number, since it uses less digits than its factorization.

96678900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 96678900 is about 9832.5429060849. The cubic root of 96678900 is about 458.9625327185.

The spelling of 96678900 in words is "ninety-six million, six hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 61 75 90 100 108 122 135 150 180 183 225 244 270 300 305 366 450 540 549 587 610 675 732 900 915 1098 1174 1220 1350 1525 1647 1761 1830 2196 2348 2700 2745 2935 3050 3294 3522 3660 4575 5283 5490 5870 6100 6588 7044 8235 8805 9150 10566 10980 11740 13725 14675 15849 16470 17610 18300 21132 26415 27450 29350 31698 32940 35220 35807 41175 44025 52830 54900 58700 63396 71614 79245 82350 88050 105660 107421 132075 143228 158490 164700 176100 179035 214842 264150 316980 322263 358070 396225 429684 528300 537105 644526 716140 792450 895175 966789 1074210 1289052 1584900 1611315 1790350 1933578 2148420 2685525 3222630 3580700 3867156 4833945 5371050 6445260 8056575 9667890 10742100 16113150 19335780 24169725 32226300 48339450 96678900