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99996120 = 2334574409
BaseRepresentation
bin1011111010111…
…01000111011000
320222011022220000
411331131013120
5201044333440
613531133000
72322644610
oct575350730
9228138800
1099996120
1151499624
12295a4160
1317941b03
14d3cda40
158ba3730
hex5f5d1d8

99996120 has 160 divisors (see below), whose sum is σ = 384199200. Its totient is φ = 22851072.

The previous prime is 99996097. The next prime is 99996121. The reversal of 99996120 is 2169999.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99996121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20476 + ... + 24884.

It is an arithmetic number, because the mean of its divisors is an integer number (2401245).

Almost surely, 299996120 is an apocalyptic number.

99996120 is a gapful number since it is divisible by the number (90) 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 99996120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192099600).

99996120 is an abundant number, since it is smaller than the sum of its proper divisors (284203080).

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

99996120 is a wasteful number, since it uses less digits than its factorization.

99996120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 99996120 is about 9999.8059981182. The cubic root of 99996120 is about 464.1528801621.

The spelling of 99996120 in words is "ninety-nine million, nine hundred ninety-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4409 4536 5670 7560 8818 11340 13227 17636 22045 22680 26454 30863 35272 39681 44090 52908 61726 66135 79362 88180 92589 105816 119043 123452 132270 154315 158724 176360 185178 198405 238086 246904 264540 277767 308630 317448 357129 370356 396810 462945 476172 529080 555534 595215 617260 714258 740712 793620 833301 925890 952344 1111068 1190430 1234520 1388835 1428516 1587240 1666602 1785645 1851780 2222136 2380860 2499903 2777670 2857032 3333204 3571290 3703560 4166505 4761720 4999806 5555340 6666408 7142580 8333010 9999612 11110680 12499515 14285160 16666020 19999224 24999030 33332040 49998060 99996120