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16404480 = 21232589
BaseRepresentation
bin111110100101…
…000000000000
31010212102201100
4332211000000
513144420410
61343334400
7256302321
oct76450000
933772640
1016404480
119294a24
1255b1400
1335249c1
142270448
1516908c0
hexfa5000

16404480 has 156 divisors (see below), whose sum is σ = 57500820. Its totient is φ = 4325376.

The previous prime is 16404461. The next prime is 16404503. The reversal of 16404480 is 8440461.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 11943936 = 2112^2 + 3456^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184276 + ... + 184364.

It is an arithmetic number, because the mean of its divisors is an integer number (368595).

Almost surely, 216404480 is an apocalyptic number.

16404480 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 16404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28750410).

16404480 is an abundant number, since it is smaller than the sum of its proper divisors (41096340).

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

16404480 is an equidigital number, since it uses as much as digits as its factorization.

16404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 16404480 is about 4050.2444370680. The cubic root of 16404480 is about 254.0899509878.

It can be divided in two parts, 16 and 404480, that added together give a square (404496 = 6362).

The spelling of 16404480 in words is "sixteen million, four hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 89 90 96 120 128 144 160 178 180 192 240 256 267 288 320 356 360 384 445 480 512 534 576 640 712 720 768 801 890 960 1024 1068 1152 1280 1335 1424 1440 1536 1602 1780 1920 2048 2136 2304 2560 2670 2848 2880 3072 3204 3560 3840 4005 4096 4272 4608 5120 5340 5696 5760 6144 6408 7120 7680 8010 8544 9216 10240 10680 11392 11520 12288 12816 14240 15360 16020 17088 18432 20480 21360 22784 23040 25632 28480 30720 32040 34176 36864 42720 45568 46080 51264 56960 61440 64080 68352 85440 91136 92160 102528 113920 128160 136704 170880 182272 184320 205056 227840 256320 273408 341760 364544 410112 455680 512640 546816 683520 820224 911360 1025280 1093632 1367040 1640448 1822720 2050560 2734080 3280896 4101120 5468160 8202240 16404480