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2023730016 = 253711273773
BaseRepresentation
bin111100010011111…
…1010101101100000
312020001000010200120
41320213322231200
513121033330031
6532451320240
7101102264340
oct17047725540
95201003616
102023730016
11949385350
124858b0080
132633654a9
14152ab4d20
15bc9eda96
hex789fab60

2023730016 has 96 divisors (see below), whose sum is σ = 6623140608. Its totient is φ = 525642240.

The previous prime is 2023729999. The next prime is 2023730053. The reversal of 2023730016 is 6100373202.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129495 + ... + 144278.

It is an arithmetic number, because the mean of its divisors is an integer number (68991048).

Almost surely, 22023730016 is an apocalyptic number.

It is an amenable number.

2023730016 is an abundant number, since it is smaller than the sum of its proper divisors (4599410592).

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

2023730016 is a wasteful number, since it uses less digits than its factorization.

2023730016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273804 (or 273796 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 2023730016 is about 44985.8868535455. The cubic root of 2023730016 is about 1264.8844621521.

The spelling of 2023730016 in words is "two billion, twenty-three million, seven hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 273773 547546 821319 1095092 1642638 1916411 2190184 3011503 3285276 3832822 4380368 5749233 6023006 6570552 7665644 8760736 9034509 11498466 12046012 13141104 15331288 18069018 21080521 22996932 24092024 26282208 30662576 36138036 42161042 45993864 48184048 61325152 63241563 72276072 84322084 91987728 96368096 126483126 144552144 168644168 183975456 252966252 289104288 337288336 505932504 674576672 1011865008 2023730016