Search a number
-
+
109999904 = 257231273
BaseRepresentation
bin1101000111001…
…11011100100000
321122222120111112
412203213130200
5211124444104
614525402452
72503661300
oct643473440
9248876445
10109999904
1157101613
1230a09428
1319a35301
1410875600
1599cc86e
hex68e7720

109999904 has 108 divisors (see below), whose sum is σ = 263873862. Its totient is φ = 44997120.

The previous prime is 109999889. The next prime is 109999913. The reversal of 109999904 is 409999901.

It can be written as a sum of positive squares in only one way, i.e., 91164304 + 18835600 = 9548^2 + 4340^2 .

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 17 ways as a sum of consecutive naturals, for example, 1506812 + ... + 1506884.

Almost surely, 2109999904 is an apocalyptic number.

109999904 is a gapful number since it is divisible by the number (14) 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 109999904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131936931).

109999904 is an abundant number, since it is smaller than the sum of its proper divisors (153873958).

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

109999904 is an equidigital number, since it uses as much as digits as its factorization.

109999904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 50.

The square root of 109999904 is about 10488.0839050801. The cubic root of 109999904 is about 479.1418463195.

The spelling of 109999904 in words is "one hundred nine million, nine hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 73 98 112 124 146 196 217 224 248 292 392 434 496 511 584 784 868 961 992 1022 1168 1519 1568 1736 1922 2044 2263 2336 3038 3472 3577 3844 4088 4526 6076 6727 6944 7154 7688 8176 9052 12152 13454 14308 15376 15841 16352 18104 24304 26908 28616 30752 31682 36208 47089 48608 53816 57232 63364 70153 72416 94178 107632 110887 114464 126728 140306 188356 215264 221774 253456 280612 376712 443548 491071 506912 561224 753424 887096 982142 1122448 1506848 1774192 1964284 2244896 3437497 3548384 3928568 6874994 7857136 13749988 15714272 27499976 54999952 109999904