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99996768 = 2534173223
BaseRepresentation
bin1011111010111…
…01010001100000
320222011100210000
411331131101200
5201044344033
613531140000
72322646524
oct575352140
9228140700
1099996768
115149a063
12295a4600
13179421b1
14d3cdd84
158ba3a13
hex5f5d460

99996768 has 120 divisors (see below), whose sum is σ = 297114048. Its totient is φ = 32990976.

The previous prime is 99996749. The next prime is 99996769. The reversal of 99996768 is 86769999.

It is a super-2 number, since 2×999967682 = 19998707220891648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99996769) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 448305 + ... + 448527.

Almost surely, 299996768 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 99996768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148557024).

99996768 is an abundant number, since it is smaller than the sum of its proper divisors (197117280).

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

99996768 is a wasteful number, since it uses less digits than its factorization.

99996768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 63.

The square root of 99996768 is about 9999.8383986943. The cubic root of 99996768 is about 464.1538827690.

The spelling of 99996768 in words is "ninety-nine million, nine hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 173 216 223 288 324 346 432 446 519 648 669 692 864 892 1038 1296 1338 1384 1557 1784 2007 2076 2592 2676 2768 3114 3568 4014 4152 4671 5352 5536 6021 6228 7136 8028 8304 9342 10704 12042 12456 14013 16056 16608 18063 18684 21408 24084 24912 28026 32112 36126 37368 38579 48168 49824 56052 64224 72252 74736 77158 96336 112104 115737 144504 149472 154316 192672 224208 231474 289008 308632 347211 448416 462948 578016 617264 694422 925896 1041633 1234528 1388844 1851792 2083266 2777688 3124899 3703584 4166532 5555376 6249798 8333064 11110752 12499596 16666128 24999192 33332256 49998384 99996768