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96374140 = 22523535967
BaseRepresentation
bin1011011111010…
…00110101111100
320201100022110121
411233220311330
5144132433030
613321344324
72250111112
oct557506574
9221308417
1096374140
114a445355
12283380a4
1316c74325
14cb29ab2
1586da47a
hex5be8d7c

96374140 has 96 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 35033856.

The previous prime is 96374129. The next prime is 96374143. The reversal of 96374140 is 4147369.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 96374096 and 96374105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96374143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1438387 + ... + 1438453.

It is an arithmetic number, because the mean of its divisors is an integer number (2313360).

Almost surely, 296374140 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 96374140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

96374140 is an abundant number, since it is smaller than the sum of its proper divisors (125708420).

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

96374140 is a wasteful number, since it uses less digits than its factorization.

96374140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 96374140 is about 9817.0331567129. The cubic root of 96374140 is about 458.4797639748.

The spelling of 96374140 in words is "ninety-six million, three hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 53 59 67 92 106 115 118 134 212 230 236 265 268 295 335 460 530 590 670 1060 1180 1219 1340 1357 1541 2438 2714 3082 3127 3551 3953 4876 5428 6095 6164 6254 6785 7102 7705 7906 12190 12508 13570 14204 15410 15635 15812 17755 19765 24380 27140 30820 31270 35510 39530 62540 71020 71921 79060 81673 90919 143842 163346 181838 209509 287684 326692 359605 363676 408365 419018 454595 719210 816730 838036 909190 1047545 1438420 1633460 1818380 2095090 4190180 4818707 9637414 19274828 24093535 48187070 96374140