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109464240 = 24354310607
BaseRepresentation
bin1101000011001…
…00101010110000
321121222100201010
412201210222300
5211010323430
614510110520
72466300504
oct641445260
9247870633
10109464240
1156876116
12307ab440
13198a8552
1410776304
159923cb0
hex6864ab0

109464240 has 80 divisors (see below), whose sum is σ = 347263488. Its totient is φ = 28508928.

The previous prime is 109464203. The next prime is 109464247. The reversal of 109464240 is 42464901.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 109464198 and 109464207.

It is not an unprimeable number, because it can be changed into a prime (109464247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5017 + ... + 15623.

Almost surely, 2109464240 is an apocalyptic number.

109464240 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 109464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173631744).

109464240 is an abundant number, since it is smaller than the sum of its proper divisors (237799248).

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

109464240 is a wasteful number, since it uses less digits than its factorization.

109464240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 109464240 is about 10462.5159498086. The cubic root of 109464240 is about 478.3628250812.

The spelling of 109464240 in words is "one hundred nine million, four hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 10607 21214 31821 42428 53035 63642 84856 106070 127284 159105 169712 212140 254568 318210 424280 456101 509136 636420 848560 912202 1272840 1368303 1824404 2280505 2545680 2736606 3648808 4561010 5473212 6841515 7297616 9122020 10946424 13683030 18244040 21892848 27366060 36488080 54732120 109464240