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16406440 = 23531101131
BaseRepresentation
bin111110100101…
…011110101000
31010212112101221
4332211132220
513200001230
61343351424
7256311121
oct76453650
933775357
1016406440
119296446
1255b2574
13352586b
142271048
15169127a
hexfa57a8

16406440 has 64 divisors (see below), whose sum is σ = 38776320. Its totient is φ = 6240000.

The previous prime is 16406419. The next prime is 16406459. The reversal of 16406440 is 4460461.

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, 125175 + ... + 125305.

It is an arithmetic number, because the mean of its divisors is an integer number (605880).

Almost surely, 216406440 is an apocalyptic number.

16406440 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 16406440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388160).

16406440 is an abundant number, since it is smaller than the sum of its proper divisors (22369880).

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

16406440 is a wasteful number, since it uses less digits than its factorization.

16406440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 16406440 is about 4050.4863905462. The cubic root of 16406440 is about 254.1000701031.

The spelling of 16406440 in words is "sixteen million, four hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 101 124 131 155 202 248 262 310 404 505 524 620 655 808 1010 1048 1240 1310 2020 2620 3131 4040 4061 5240 6262 8122 12524 13231 15655 16244 20305 25048 26462 31310 32488 40610 52924 62620 66155 81220 105848 125240 132310 162440 264620 410161 529240 820322 1640644 2050805 3281288 4101610 8203220 16406440