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96923280 = 2435431937
BaseRepresentation
bin1011100011011…
…10111010010000
320202101012202010
411301232322100
5144303021110
613341222520
72254556106
oct561567220
9222335663
1096923280
114a78a993
1228561a40
131710726c
14cc2dc76
158798020
hex5c6ee90

96923280 has 80 divisors (see below), whose sum is σ = 301480704. Its totient is φ = 25758720.

The previous prime is 96923263. The next prime is 96923287. The reversal of 96923280 is 8232969.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (96923287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102972 + ... + 103908.

Almost surely, 296923280 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 96923280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150740352).

96923280 is an abundant number, since it is smaller than the sum of its proper divisors (204557424).

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

96923280 is a wasteful number, since it uses less digits than its factorization.

96923280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 96923280 is about 9844.9621634621. The cubic root of 96923280 is about 459.3489213758.

The spelling of 96923280 in words is "ninety-six million, nine hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 431 862 937 1293 1724 1874 2155 2586 2811 3448 3748 4310 4685 5172 5622 6465 6896 7496 8620 9370 10344 11244 12930 14055 14992 17240 18740 20688 22488 25860 28110 34480 37480 44976 51720 56220 74960 103440 112440 224880 403847 807694 1211541 1615388 2019235 2423082 3230776 4038470 4846164 6057705 6461552 8076940 9692328 12115410 16153880 19384656 24230820 32307760 48461640 96923280