Search a number
-
+
299620992 = 2731189797
BaseRepresentation
bin10001110110111…
…101101010000000
3202212210022201210
4101312331222000
51103200332432
645421530120
710265510406
oct2166755200
9685708653
10299620992
11144145760
1284413940
134a0c7438
142bb15476
151b4868cc
hex11dbda80

299620992 has 128 divisors (see below), whose sum is σ = 879076800. Its totient is φ = 89661440.

The previous prime is 299620963. The next prime is 299621017. The reversal of 299620992 is 299026992.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375538 + ... + 376334.

Almost surely, 2299620992 is an apocalyptic number.

299620992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299620992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439538400).

299620992 is an abundant number, since it is smaller than the sum of its proper divisors (579455808).

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

299620992 is a wasteful number, since it uses less digits than its factorization.

299620992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 299620992 is about 17309.5635993517. The cubic root of 299620992 is about 669.1509196762.

The spelling of 299620992 in words is "two hundred ninety-nine million, six hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 89 96 128 132 176 178 192 264 267 352 356 384 528 534 704 712 797 979 1056 1068 1408 1424 1594 1958 2112 2136 2391 2848 2937 3188 3916 4224 4272 4782 5696 5874 6376 7832 8544 8767 9564 11392 11748 12752 15664 17088 17534 19128 23496 25504 26301 31328 34176 35068 38256 46992 51008 52602 62656 70136 70933 76512 93984 102016 105204 125312 140272 141866 153024 187968 210408 212799 280544 283732 306048 375936 420816 425598 561088 567464 780263 841632 851196 1122176 1134928 1560526 1683264 1702392 2269856 2340789 3121052 3366528 3404784 4539712 4681578 6242104 6809568 9079424 9363156 12484208 13619136 18726312 24968416 27238272 37452624 49936832 74905248 99873664 149810496 299620992