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90016320 = 2635412287
BaseRepresentation
bin1010101110110…
…00101001000000
320021101022011210
411113120221000
5141021010240
612533210120
72142061152
oct527305100
9207338153
1090016320
11468a2659
1226190940
13158594c4
14bd52ad2
157d81780
hex55d8a40

90016320 has 112 divisors (see below), whose sum is σ = 292900608. Its totient is φ = 23408640.

The previous prime is 90016307. The next prime is 90016337. The reversal of 90016320 is 2361009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38217 + ... + 40503.

It is an arithmetic number, because the mean of its divisors is an integer number (2615184).

Almost surely, 290016320 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 90016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146450304).

90016320 is an abundant number, since it is smaller than the sum of its proper divisors (202884288).

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

90016320 is a wasteful number, since it uses less digits than its factorization.

90016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 90016320 is about 9487.6930810392. The cubic root of 90016320 is about 448.1675606206.

Adding to 90016320 its reverse (2361009), we get a palindrome (92377329).

The spelling of 90016320 in words is "ninety million, sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2287 2460 2624 3280 3936 4574 4920 6560 6861 7872 9148 9840 11435 13120 13722 18296 19680 22870 27444 34305 36592 39360 45740 54888 68610 73184 91480 93767 109776 137220 146368 182960 187534 219552 274440 281301 365920 375068 439104 468835 548880 562602 731840 750136 937670 1097760 1125204 1406505 1500272 1875340 2195520 2250408 2813010 3000544 3750680 4500816 5626020 6001088 7501360 9001632 11252040 15002720 18003264 22504080 30005440 45008160 90016320