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96678720 = 2632533569
BaseRepresentation
bin1011100001100…
…11001101000000
320201220210021100
411300303031000
5144222204340
613332054400
72252520105
oct560631500
9221823240
1096678720
114a633176
1228464400
131704cb58
14cba8aac
15874a830
hex5c33340

96678720 has 84 divisors (see below), whose sum is σ = 332544420. Its totient is φ = 25780224.

The previous prime is 96678719. The next prime is 96678733. The reversal of 96678720 is 2787669.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18249984 + 78428736 = 4272^2 + 8856^2 .

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13905 + ... + 19664.

Almost surely, 296678720 is an apocalyptic number.

96678720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96678720 is an abundant number, since it is smaller than the sum of its proper divisors (235865700).

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

96678720 is a wasteful number, since it uses less digits than its factorization.

96678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33592 (or 33579 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 96678720 is about 9832.5337528025. The cubic root of 96678720 is about 458.9622478811.

The spelling of 96678720 in words is "ninety-six million, six hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 33569 67138 100707 134276 167845 201414 268552 302121 335690 402828 503535 537104 604242 671380 805656 1007070 1074208 1208484 1342760 1510605 1611312 2014140 2148416 2416968 2685520 3021210 3222624 4028280 4833936 5371040 6042420 6445248 8056560 9667872 10742080 12084840 16113120 19335744 24169680 32226240 48339360 96678720