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404086080 = 26352318301
BaseRepresentation
bin11000000101011…
…101110101000000
31001011100200220010
4120011131311000
51311421223310
6104032544520
713004450346
oct3005356500
91034320803
10404086080
11198106942
12b33b2140
13659423b8
143b949996
152571e320
hex1815dd40

404086080 has 112 divisors (see below), whose sum is σ = 1338827904. Its totient is φ = 103065600.

The previous prime is 404086069. The next prime is 404086121. The reversal of 404086080 is 80680404.

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

It is a congruent number.

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, 12930 + ... + 31230.

Almost surely, 2404086080 is an apocalyptic number.

404086080 is a gapful number since it is divisible by the number (40) 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 404086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669413952).

404086080 is an abundant number, since it is smaller than the sum of its proper divisors (934741824).

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

404086080 is a wasteful number, since it uses less digits than its factorization.

404086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18344 (or 18334 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 404086080 is about 20101.8924482249. The cubic root of 404086080 is about 739.3066795680.

The spelling of 404086080 in words is "four hundred four million, eighty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 7360 11040 18301 22080 36602 54903 73204 91505 109806 146408 183010 219612 274515 292816 366020 420923 439224 549030 585632 732040 841846 878448 1098060 1171264 1262769 1464080 1683692 1756896 2104615 2196120 2525538 2928160 3367384 3513792 4209230 4392240 5051076 5856320 6313845 6734768 8418460 8784480 10102152 12627690 13469536 16836920 17568960 20204304 25255380 26939072 33673840 40408608 50510760 67347680 80817216 101021520 134695360 202043040 404086080