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90698112 = 2732131601
BaseRepresentation
bin1010110011111…
…11000110000000
320022122221102100
411121333012000
5141204314422
612555550400
72150630661
oct531770600
9208587370
1090698112
114721891a
122645b400
1315a3792b
14c08d368
157e687ac
hex567f180

90698112 has 96 divisors (see below), whose sum is σ = 263423160. Its totient is φ = 29952000.

The previous prime is 90698107. The next prime is 90698123. The reversal of 90698112 is 21189609.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×906981122 = 16452295040729088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150612 + ... + 151212.

Almost surely, 290698112 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 90698112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131711580).

90698112 is an abundant number, since it is smaller than the sum of its proper divisors (172725048).

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

90698112 is a wasteful number, since it uses less digits than its factorization.

90698112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 90698112 is about 9523.5556385207. Note that the first 3 decimals coincide. The cubic root of 90698112 is about 449.2962035454.

The spelling of 90698112 in words is "ninety million, six hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 262 288 384 393 524 576 601 786 1048 1152 1179 1202 1572 1803 2096 2358 2404 3144 3606 4192 4716 4808 5409 6288 7212 8384 9432 9616 10818 12576 14424 16768 18864 19232 21636 25152 28848 37728 38464 43272 50304 57696 75456 76928 78731 86544 115392 150912 157462 173088 230784 236193 314924 346176 472386 629848 692352 708579 944772 1259696 1417158 1889544 2519392 2834316 3779088 5038784 5668632 7558176 10077568 11337264 15116352 22674528 30232704 45349056 90698112