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109392120 = 23345191777
BaseRepresentation
bin1101000010100…
…11000011111000
321121211200210000
412201103003320
5211001021440
614504353000
72465550315
oct641230370
9247750700
10109392120
1156826a12
1230775760
1319881786
1410757d0c
15990c730
hex68530f8

109392120 has 160 divisors (see below), whose sum is σ = 387248400. Its totient is φ = 27620352.

The previous prime is 109392119. The next prime is 109392133. The reversal of 109392120 is 21293901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60672 + ... + 62448.

Almost surely, 2109392120 is an apocalyptic number.

109392120 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 109392120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193624200).

109392120 is an abundant number, since it is smaller than the sum of its proper divisors (277856280).

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

109392120 is a wasteful number, since it uses less digits than its factorization.

109392120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 109392120 is about 10459.0687922013. The cubic root of 109392120 is about 478.2577463013.

The spelling of 109392120 in words is "one hundred nine million, three hundred ninety-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 360 380 405 456 513 540 570 648 684 760 810 855 1026 1080 1140 1368 1539 1620 1710 1777 2052 2280 2565 3078 3240 3420 3554 4104 5130 5331 6156 6840 7108 7695 8885 10260 10662 12312 14216 15390 15993 17770 20520 21324 26655 30780 31986 33763 35540 42648 47979 53310 61560 63972 67526 71080 79965 95958 101289 106620 127944 135052 143937 159930 168815 191916 202578 213240 239895 270104 287874 303867 319860 337630 383832 405156 479790 506445 575748 607734 639720 675260 719685 810312 911601 959580 1012890 1151496 1215468 1350520 1439370 1519335 1823202 1919160 2025780 2430936 2734803 2878740 3038670 3646404 4051560 4558005 5469606 5757480 6077340 7292808 9116010 10939212 12154680 13674015 18232020 21878424 27348030 36464040 54696060 109392120