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109471440 = 24351322699
BaseRepresentation
bin1101000011001…
…10011011010000
321121222201120210
412201212123100
5211011041230
614510204120
72466330501
oct641463320
9247881523
10109471440
1156880571
12307b3640
13198ab900
1410778ba8
159925eb0
hex68666d0

109471440 has 120 divisors (see below), whose sum is σ = 367610400. Its totient is φ = 26936832.

The previous prime is 109471429. The next prime is 109471469. The reversal of 109471440 is 44174901.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 109471398 and 109471407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39211 + ... + 41909.

It is an arithmetic number, because the mean of its divisors is an integer number (3063420).

Almost surely, 2109471440 is an apocalyptic number.

109471440 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 109471440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183805200).

109471440 is an abundant number, since it is smaller than the sum of its proper divisors (258138960).

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

109471440 is a wasteful number, since it uses less digits than its factorization.

109471440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 109471440 is about 10462.8600296477. The cubic root of 109471440 is about 478.3733129411.

The spelling of 109471440 in words is "one hundred nine million, four hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2699 2704 3120 3380 4056 5070 5398 6760 8097 8112 10140 10796 13495 13520 16194 20280 21592 26990 32388 35087 40485 40560 43184 53980 64776 70174 80970 105261 107960 129552 140348 161940 175435 210522 215920 280696 323880 350870 421044 456131 526305 561392 647760 701740 842088 912262 1052610 1368393 1403480 1684176 1824524 2105220 2280655 2736786 2806960 3649048 4210440 4561310 5473572 6841965 7298096 8420880 9122620 10947144 13683930 18245240 21894288 27367860 36490480 54735720 109471440