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99840440 = 2357319383
BaseRepresentation
bin1011111001101…
…11000110111000
320221212102100002
411330313012320
5201024343230
613523532132
72321426000
oct574670670
9227772302
1099840440
11513a2667
122952a048
13178b8cab
14d38d000
158b72545
hex5f371b8

99840440 has 128 divisors (see below), whose sum is σ = 276480000. Its totient is φ = 32344704.

The previous prime is 99840409. The next prime is 99840443. The reversal of 99840440 is 4404899.

It is a super-2 number, since 2×998404402 = 19936226918787200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 99840394 and 99840403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99840443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260489 + ... + 260871.

It is an arithmetic number, because the mean of its divisors is an integer number (2160000).

Almost surely, 299840440 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 99840440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240000).

99840440 is an abundant number, since it is smaller than the sum of its proper divisors (176639560).

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

99840440 is a wasteful number, since it uses less digits than its factorization.

99840440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 99840440 is about 9992.0188150343. The cubic root of 99840440 is about 463.9118813044.

The spelling of 99840440 in words is "ninety-nine million, eight hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 343 380 383 392 490 532 665 686 760 766 931 980 1064 1330 1372 1532 1715 1862 1915 1960 2660 2681 2744 3064 3430 3724 3830 4655 5320 5362 6517 6860 7277 7448 7660 9310 10724 13034 13405 13720 14554 15320 18620 18767 21448 26068 26810 29108 32585 36385 37240 37534 50939 52136 53620 58216 65170 72770 75068 93835 101878 107240 130340 131369 145540 150136 187670 203756 254695 260680 262738 291080 356573 375340 407512 509390 525476 656845 713146 750680 1018780 1050952 1313690 1426292 1782865 2037560 2496011 2627380 2852584 3565730 4992022 5254760 7131460 9984044 12480055 14262920 19968088 24960110 49920220 99840440