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104033440 = 2557293203
BaseRepresentation
bin1100011001101…
…10110010100000
321020202110001101
412030312302200
5203113032230
614153444144
72402161330
oct614666240
9236673041
10104033440
11537a6955
122aa10654
1318726664
14db610c0
1591eeaca
hex6336ca0

104033440 has 96 divisors (see below), whose sum is σ = 290666880. Its totient is φ = 34427904.

The previous prime is 104033431. The next prime is 104033443. The reversal of 104033440 is 44330401.

It is not an unprimeable number, because it can be changed into a prime (104033443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30879 + ... + 34081.

It is an arithmetic number, because the mean of its divisors is an integer number (3027780).

Almost surely, 2104033440 is an apocalyptic number.

104033440 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 104033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145333440).

104033440 is an abundant number, since it is smaller than the sum of its proper divisors (186633440).

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

104033440 is a wasteful number, since it uses less digits than its factorization.

104033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 104033440 is about 10199.6784263034. The cubic root of 104033440 is about 470.3173351122.

Adding to 104033440 its reverse (44330401), we get a palindrome (148363841).

The spelling of 104033440 in words is "one hundred four million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1624 2030 2320 3203 3248 4060 4640 6406 6496 8120 12812 16015 16240 22421 25624 32030 32480 44842 51248 64060 89684 92887 102496 112105 128120 179368 185774 224210 256240 358736 371548 448420 464435 512480 650209 717472 743096 896840 928870 1300418 1486192 1793680 1857740 2600836 2972384 3251045 3587360 3715480 5201672 6502090 7430960 10403344 13004180 14861920 20806688 26008360 52016720 104033440