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109899552 = 2537261383
BaseRepresentation
bin1101000110011…
…10111100100000
321122210110211210
412203032330200
5211113241202
614523310120
72503062600
oct643167440
9248713753
10109899552
1157043184
123097b340
13199cb729
141084ac00
1599acc6c
hex68cef20

109899552 has 144 divisors (see below), whose sum is σ = 341978112. Its totient is φ = 30804480.

The previous prime is 109899539. The next prime is 109899571. The reversal of 109899552 is 255998901.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286753 + ... + 287135.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848).

Almost surely, 2109899552 is an apocalyptic number.

109899552 is a gapful number since it is divisible by the number (12) 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 109899552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056).

109899552 is an abundant number, since it is smaller than the sum of its proper divisors (232078560).

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

109899552 is a wasteful number, since it uses less digits than its factorization.

109899552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 48.

The square root of 109899552 is about 10483.2987174839. The cubic root of 109899552 is about 478.9960962776.

The spelling of 109899552 in words is "one hundred nine million, eight hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 61 84 96 98 112 122 147 168 183 196 224 244 294 336 366 383 392 427 488 588 672 732 766 784 854 976 1149 1176 1281 1464 1532 1568 1708 1952 2298 2352 2562 2681 2928 2989 3064 3416 4596 4704 5124 5362 5856 5978 6128 6832 8043 8967 9192 10248 10724 11956 12256 13664 16086 17934 18384 18767 20496 21448 23363 23912 32172 35868 36768 37534 40992 42896 46726 47824 56301 64344 70089 71736 75068 85792 93452 95648 112602 128688 140178 143472 150136 163541 186904 225204 257376 280356 286944 300272 327082 373808 450408 490623 560712 600544 654164 747616 900816 981246 1121424 1144787 1308328 1801632 1962492 2242848 2289574 2616656 3434361 3924984 4579148 5233312 6868722 7849968 9158296 13737444 15699936 18316592 27474888 36633184 54949776 109899552