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6109440 = 28353743
BaseRepresentation
bin10111010011100100000000
3102111101120120
4113103210000
53031000230
6334540240
7102633531
oct27234400
912441516
106109440
1134a3127
122067680
13135ba6c
14b50688
1580a310
hex5d3900

6109440 has 144 divisors (see below), whose sum is σ = 20505408. Its totient is φ = 1548288.

The previous prime is 6109429. The next prime is 6109457. The reversal of 6109440 is 449016.

It is a super-2 number, since 2×61094402 = 74650514227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6109440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142059 + ... + 142101.

Almost surely, 26109440 is an apocalyptic number.

6109440 is a gapful number since it is divisible by the number (60) 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 6109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10252704).

6109440 is an abundant number, since it is smaller than the sum of its proper divisors (14395968).

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

6109440 is a wasteful number, since it uses less digits than its factorization.

6109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6109440 is about 2471.7281403908. The cubic root of 6109440 is about 182.8102186142.

The spelling of 6109440 in words is "six million, one hundred nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 43 48 60 64 74 80 86 96 111 120 128 129 148 160 172 185 192 215 222 240 256 258 296 320 344 370 384 430 444 480 516 555 592 640 645 688 740 768 860 888 960 1032 1110 1184 1280 1290 1376 1480 1591 1720 1776 1920 2064 2220 2368 2580 2752 2960 3182 3440 3552 3840 4128 4440 4736 4773 5160 5504 5920 6364 6880 7104 7955 8256 8880 9472 9546 10320 11008 11840 12728 13760 14208 15910 16512 17760 19092 20640 23680 23865 25456 27520 28416 31820 33024 35520 38184 41280 47360 47730 50912 55040 63640 71040 76368 82560 95460 101824 127280 142080 152736 165120 190920 203648 254560 305472 381840 407296 509120 610944 763680 1018240 1221888 1527360 2036480 3054720 6109440