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96741720 = 233251032609
BaseRepresentation
bin1011100010000…
…10100101011000
320202000222200200
411301002211120
5144231213340
613333302200
72253201555
oct561024530
9222028620
1096741720
114a676539
1228494960
131707272a
14cbc3a2c
15875e330
hex5c42958

96741720 has 96 divisors (see below), whose sum is σ = 317584800. Its totient is φ = 25537536.

The previous prime is 96741719. The next prime is 96741761. The reversal of 96741720 is 2714769.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 35776 + ... + 38384.

It is an arithmetic number, because the mean of its divisors is an integer number (3308175).

Almost surely, 296741720 is an apocalyptic number.

96741720 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 96741720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158792400).

96741720 is an abundant number, since it is smaller than the sum of its proper divisors (220843080).

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

96741720 is a wasteful number, since it uses less digits than its factorization.

96741720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 96741720 is about 9835.7368813933. The cubic root of 96741720 is about 459.0619193952.

It can be divided in two parts, 96741 and 720, that added together give a triangular number (97461 = T441).

The spelling of 96741720 in words is "ninety-six million, seven hundred forty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 103 120 180 206 309 360 412 515 618 824 927 1030 1236 1545 1854 2060 2472 2609 3090 3708 4120 4635 5218 6180 7416 7827 9270 10436 12360 13045 15654 18540 20872 23481 26090 31308 37080 39135 46962 52180 62616 78270 93924 104360 117405 156540 187848 234810 268727 313080 469620 537454 806181 939240 1074908 1343635 1612362 2149816 2418543 2687270 3224724 4030905 4837086 5374540 6449448 8061810 9674172 10749080 12092715 16123620 19348344 24185430 32247240 48370860 96741720