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109900140 = 223572291289
BaseRepresentation
bin1101000110011…
…11000101101100
321122210111122120
412203033011230
5211113301030
614523312540
72503064400
oct643170554
9248714576
10109900140
1157043669
123097b750
13199cba8c
141084b100
1599ad010
hex68cf16c

109900140 has 144 divisors (see below), whose sum is σ = 370591200. Its totient is φ = 24235008.

The previous prime is 109900079. The next prime is 109900151. The reversal of 109900140 is 41009901.

It is a self number, because there is not a number n which added to its sum of digits gives 109900140.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84616 + ... + 85904.

It is an arithmetic number, because the mean of its divisors is an integer number (2573550).

Almost surely, 2109900140 is an apocalyptic number.

109900140 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 109900140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185295600).

109900140 is an abundant number, since it is smaller than the sum of its proper divisors (260691060).

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

109900140 is a wasteful number, since it uses less digits than its factorization.

109900140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 109900140 is about 10483.3267620541. The cubic root of 109900140 is about 478.9969505401.

The spelling of 109900140 in words is "one hundred nine million, nine hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 49 58 60 70 84 87 98 105 116 140 145 147 174 196 203 210 245 290 294 348 406 420 435 490 580 588 609 735 812 870 980 1015 1218 1289 1421 1470 1740 2030 2436 2578 2842 2940 3045 3867 4060 4263 5156 5684 6090 6445 7105 7734 8526 9023 12180 12890 14210 15468 17052 18046 19335 21315 25780 27069 28420 36092 37381 38670 42630 45115 54138 63161 74762 77340 85260 90230 108276 112143 126322 135345 149524 180460 186905 189483 224286 252644 261667 270690 315805 373810 378966 448572 523334 541380 560715 631610 747620 757932 785001 947415 1046668 1121430 1263220 1308335 1570002 1831669 1894830 2242860 2616670 3140004 3663338 3789660 3925005 5233340 5495007 7326676 7850010 9158345 10990014 15700020 18316690 21980028 27475035 36633380 54950070 109900140