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96721920 = 2103252099
BaseRepresentation
bin1011100001111…
…01110000000000
320201222222112100
411300331300000
5144230100140
613333030400
72253060051
oct560756000
9221888470
1096721920
114a662679
1228485400
1317066709
14cbba728
158758530
hex5c3dc00

96721920 has 132 divisors (see below), whose sum is σ = 335298600. Its totient is φ = 25780224.

The previous prime is 96721903. The next prime is 96721939. The reversal of 96721920 is 2912769.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 45031 + ... + 47129.

Almost surely, 296721920 is an apocalyptic number.

96721920 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 96721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167649300).

96721920 is an abundant number, since it is smaller than the sum of its proper divisors (238576680).

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

96721920 is a wasteful number, since it uses less digits than its factorization.

96721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 96721920 is about 9834.7302962511. The cubic root of 96721920 is about 459.0305987262.

The spelling of 96721920 in words is "ninety-six million, seven hundred twenty-one thousand, nine 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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2099 2304 2560 2880 3072 3840 4198 4608 5120 5760 6297 7680 8396 9216 10495 11520 12594 15360 16792 18891 20990 23040 25188 31485 33584 37782 41980 46080 50376 62970 67168 75564 83960 94455 100752 125940 134336 151128 167920 188910 201504 251880 268672 302256 335840 377820 403008 503760 537344 604512 671680 755640 806016 1007520 1074688 1209024 1343360 1511280 1612032 2015040 2149376 2418048 2686720 3022560 3224064 4030080 4836096 5373440 6045120 6448128 8060160 9672192 10746880 12090240 16120320 19344384 24180480 32240640 48360960 96721920