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96399840 = 2535229877
BaseRepresentation
bin1011011111011…
…11000111100000
320201101121201110
411233233013200
5144134243330
613322103320
72250246045
oct557570740
9221347643
1096399840
114a462699
122834ab40
1316c82c34
14cb351cc
1586e2db0
hex5bef1e0

96399840 has 96 divisors (see below), whose sum is σ = 305333280. Its totient is φ = 25565184.

The previous prime is 96399839. The next prime is 96399869. The reversal of 96399840 is 4899369.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 96399840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109482 + ... + 110358.

It is an arithmetic number, because the mean of its divisors is an integer number (3180555).

Almost surely, 296399840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96399840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152666640).

96399840 is an abundant number, since it is smaller than the sum of its proper divisors (208933440).

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

96399840 is a wasteful number, since it uses less digits than its factorization.

96399840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 96399840 is about 9818.3420188950. The cubic root of 96399840 is about 458.5205144732.

The spelling of 96399840 in words is "ninety-six million, three hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 229 240 458 480 687 877 916 1145 1374 1754 1832 2290 2631 2748 3435 3508 3664 4385 4580 5262 5496 6870 7016 7328 8770 9160 10524 10992 13155 13740 14032 17540 18320 21048 21984 26310 27480 28064 35080 36640 42096 52620 54960 70160 84192 105240 109920 140320 200833 210480 401666 420960 602499 803332 1004165 1204998 1606664 2008330 2409996 3012495 3213328 4016660 4819992 6024990 6426656 8033320 9639984 12049980 16066640 19279968 24099960 32133280 48199920 96399840