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96122320 = 2457331113
BaseRepresentation
bin1011011101010…
…11010111010000
320200212112000221
411232223113100
5144101403240
613312122424
72245012000
oct556532720
9220775027
1096122320
114a293138
1228236414
1316bb6818
14caa2000
15868aa4a
hex5bab5d0

96122320 has 160 divisors (see below), whose sum is σ = 271411200. Its totient is φ = 31610880.

The previous prime is 96122309. The next prime is 96122321. The reversal of 96122320 is 2322169.

It is a happy number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96122321) 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, 850584 + ... + 850696.

It is an arithmetic number, because the mean of its divisors is an integer number (1696320).

Almost surely, 296122320 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 96122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135705600).

96122320 is an abundant number, since it is smaller than the sum of its proper divisors (175288880).

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

96122320 is a wasteful number, since it uses less digits than its factorization.

96122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 96122320 is about 9804.1991003855. The cubic root of 96122320 is about 458.0800887130.

Adding to 96122320 its reverse (2322169), we get a palindrome (98444489).

The spelling of 96122320 in words is "ninety-six million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 113 124 140 155 196 217 226 245 248 280 310 343 392 434 452 490 496 560 565 620 686 784 791 868 904 980 1085 1130 1240 1372 1519 1582 1715 1736 1808 1960 2170 2260 2480 2744 3038 3164 3430 3472 3503 3920 3955 4340 4520 5488 5537 6076 6328 6860 7006 7595 7910 8680 9040 10633 11074 12152 12656 13720 14012 15190 15820 17360 17515 21266 22148 24304 24521 27440 27685 28024 30380 31640 35030 38759 42532 44296 49042 53165 55370 56048 60760 63280 70060 77518 85064 88592 98084 106330 110740 121520 122605 140120 155036 170128 171647 193795 196168 212660 221480 245210 280240 310072 343294 387590 392336 425320 442960 490420 620144 686588 775180 850640 858235 980840 1201529 1373176 1550360 1716470 1961680 2403058 2746352 3100720 3432940 4806116 6007645 6865880 9612232 12015290 13731760 19224464 24030580 48061160 96122320