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104949120 = 2735471163
BaseRepresentation
bin1100100000101…
…10010110000000
321022110222010110
412100112112000
5203331332440
614225231320
72413024053
oct620262600
9238428113
10104949120
1154271911
122b192540
1318987393
14dd1ca9a
159331080
hex6416580

104949120 has 128 divisors (see below), whose sum is σ = 341936640. Its totient is φ = 27367424.

The previous prime is 104949113. The next prime is 104949121. The reversal of 104949120 is 21949401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1049491202 = 22028635577548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104949121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89659 + ... + 90821.

It is an arithmetic number, because the mean of its divisors is an integer number (2671380).

Almost surely, 2104949120 is an apocalyptic number.

104949120 is a gapful number since it is divisible by the number (10) 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 104949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170968320).

104949120 is an abundant number, since it is smaller than the sum of its proper divisors (236987520).

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

104949120 is a wasteful number, since it uses less digits than its factorization.

104949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 104949120 is about 10244.4677753410. The cubic root of 104949120 is about 471.6931837295.

The spelling of 104949120 in words is "one hundred four million, nine hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 282 320 376 384 470 480 564 640 705 752 940 960 1128 1163 1410 1504 1880 1920 2256 2326 2820 3008 3489 3760 4512 4652 5640 5815 6016 6978 7520 9024 9304 11280 11630 13956 15040 17445 18048 18608 22560 23260 27912 30080 34890 37216 45120 46520 54661 55824 69780 74432 90240 93040 109322 111648 139560 148864 163983 186080 218644 223296 273305 279120 327966 372160 437288 446592 546610 558240 655932 744320 819915 874576 1093220 1116480 1311864 1639830 1749152 2186440 2232960 2623728 3279660 3498304 4372880 5247456 6559320 6996608 8745760 10494912 13118640 17491520 20989824 26237280 34983040 52474560 104949120