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99868416 = 2831091193
BaseRepresentation
bin1011111001111…
…01111100000000
320221220211201020
411330331330000
5201031242131
613524305440
72321603364
oct574757400
9227824636
1099868416
115141168a
1229542280
13178c894b
14d3992a4
158b7a996
hex5f3df00

99868416 has 72 divisors (see below), whose sum is σ = 268458960. Its totient is φ = 32956416.

The previous prime is 99868411. The next prime is 99868451. The reversal of 99868416 is 61486899.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99868411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83116 + ... + 84308.

Almost surely, 299868416 is an apocalyptic number.

99868416 is a gapful number since it is divisible by the number (96) 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 99868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134229480).

99868416 is an abundant number, since it is smaller than the sum of its proper divisors (168590544).

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

99868416 is a wasteful number, since it uses less digits than its factorization.

99868416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1307 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 99868416 is about 9993.4186342813. The cubic root of 99868416 is about 463.9552077253.

The spelling of 99868416 in words is "ninety-nine million, eight hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 654 768 872 1193 1308 1744 2386 2616 3488 3579 4772 5232 6976 7158 9544 10464 13952 14316 19088 20928 27904 28632 38176 41856 57264 76352 83712 114528 130037 152704 229056 260074 305408 390111 458112 520148 780222 916224 1040296 1560444 2080592 3120888 4161184 6241776 8322368 12483552 16644736 24967104 33289472 49934208 99868416