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109404120 = 23357139937
BaseRepresentation
bin1101000010101…
…01111111011000
321121212022020110
412201111333120
5211001412440
614504524320
72465630310
oct641257730
9247768213
10109404120
1156834a31
12307806a0
1319887087
141075c440
159911080
hex6855fd8

109404120 has 128 divisors (see below), whose sum is σ = 378201600. Its totient is φ = 24800256.

The previous prime is 109404107. The next prime is 109404131. The reversal of 109404120 is 21404901.

It is a super-2 number, since 2×1094041202 = 23938522945948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116292 + ... + 117228.

It is an arithmetic number, because the mean of its divisors is an integer number (2954700).

Almost surely, 2109404120 is an apocalyptic number.

109404120 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 109404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189100800).

109404120 is an abundant number, since it is smaller than the sum of its proper divisors (268797480).

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

109404120 is a wasteful number, since it uses less digits than its factorization.

109404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 109404120 is about 10459.6424413074. The cubic root of 109404120 is about 478.2752334936.

The spelling of 109404120 in words is "one hundred nine million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 139 140 168 210 278 280 417 420 556 695 834 840 937 973 1112 1390 1668 1874 1946 2085 2780 2811 2919 3336 3748 3892 4170 4685 4865 5560 5622 5838 6559 7496 7784 8340 9370 9730 11244 11676 13118 14055 14595 16680 18740 19460 19677 22488 23352 26236 28110 29190 32795 37480 38920 39354 52472 56220 58380 65590 78708 98385 112440 116760 130243 131180 157416 196770 260486 262360 390729 393540 520972 651215 781458 787080 911701 1041944 1302430 1562916 1823402 1953645 2604860 2735103 3125832 3646804 3907290 4558505 5209720 5470206 7293608 7814580 9117010 10940412 13675515 15629160 18234020 21880824 27351030 36468040 54702060 109404120