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999770112 = 21132114931
BaseRepresentation
bin111011100101110…
…100100000000000
32120200020120202200
4323211310200000
54021420120422
6243112313200
733526622445
oct7345644000
92520216680
10999770112
114733870a0
1223a9a2800
1312c189663
1496acb9cc
155cb882ac
hex3b974800

999770112 has 144 divisors (see below), whose sum is σ = 3150660240. Its totient is φ = 302899200.

The previous prime is 999770087. The next prime is 999770131. The reversal of 999770112 is 211077999.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×9997701124 (a number of 37 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200287 + ... + 205217.

It is an arithmetic number, because the mean of its divisors is an integer number (21879585).

Almost surely, 2999770112 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 999770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575330120).

999770112 is an abundant number, since it is smaller than the sum of its proper divisors (2150890128).

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

999770112 is a wasteful number, since it uses less digits than its factorization.

999770112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 999770112 is about 31619.1415443241. The cubic root of 999770112 is about 999.9233647939.

The spelling of 999770112 in words is "nine hundred ninety-nine million, seven hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 4224 4608 4931 5632 6144 6336 8448 9216 9862 11264 12672 14793 16896 18432 19724 22528 25344 29586 33792 39448 44379 50688 54241 59172 67584 78896 88758 101376 108482 118344 157792 162723 177516 202752 216964 236688 315584 325446 355032 433928 473376 488169 631168 650892 710064 867856 946752 976338 1262336 1301784 1420128 1735712 1893504 1952676 2524672 2603568 2840256 3471424 3787008 3905352 5049344 5207136 5680512 6942848 7574016 7810704 10098688 10414272 11361024 13885696 15148032 15621408 20828544 22722048 27771392 30296064 31242816 41657088 45444096 55542784 62485632 83314176 90888192 111085568 124971264 166628352 249942528 333256704 499885056 999770112