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96416580 = 223513711741
BaseRepresentation
bin1011011111100…
…11001101000100
320201102110200110
411233303031010
5144140312310
613322313020
72250345621
oct557631504
9221373613
1096416580
114a474227
1228358770
1316c8a740
14cb3b348
1586e7d20
hex5bf3344

96416580 has 96 divisors (see below), whose sum is σ = 294997248. Its totient is φ = 23385600.

The previous prime is 96416569. The next prime is 96416581. The reversal of 96416580 is 8561469.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (96416581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54510 + ... + 56250.

It is an arithmetic number, because the mean of its divisors is an integer number (3072888).

Almost surely, 296416580 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 96416580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147498624).

96416580 is an abundant number, since it is smaller than the sum of its proper divisors (198580668).

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

96416580 is a wasteful number, since it uses less digits than its factorization.

96416580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 96416580 is about 9819.1944679795. The cubic root of 96416580 is about 458.5470538988.

The spelling of 96416580 in words is "ninety-six million, four hundred sixteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 71 78 130 142 156 195 213 260 284 355 390 426 710 780 852 923 1065 1420 1741 1846 2130 2769 3482 3692 4260 4615 5223 5538 6964 8705 9230 10446 11076 13845 17410 18460 20892 22633 26115 27690 34820 45266 52230 55380 67899 90532 104460 113165 123611 135798 226330 247222 271596 339495 370833 452660 494444 618055 678990 741666 1236110 1357980 1483332 1606943 1854165 2472220 3213886 3708330 4820829 6427772 7416660 8034715 9641658 16069430 19283316 24104145 32138860 48208290 96416580