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16404640 = 255797151
BaseRepresentation
bin111110100101…
…000010100000
31010212102221021
4332211002200
513144422030
61343335224
7256302640
oct76450240
933772837
1016404640
11929505a
1255b1514
133524ab5
142270520
15169097a
hexfa50a0

16404640 has 96 divisors (see below), whose sum is σ = 45045504. Its totient is φ = 5529600.

The previous prime is 16404637. The next prime is 16404649. The reversal of 16404640 is 4640461.

It is a super-2 number, since 2×164046402 = 538224427059200, which contains 22 as substring.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (16404649) 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, 108565 + ... + 108715.

It is an arithmetic number, because the mean of its divisors is an integer number (469224).

Almost surely, 216404640 is an apocalyptic number.

16404640 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 16404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522752).

16404640 is an abundant number, since it is smaller than the sum of its proper divisors (28640864).

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

16404640 is a wasteful number, since it uses less digits than its factorization.

16404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

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

The square root of 16404640 is about 4050.2641889141. The cubic root of 16404640 is about 254.0907770683.

The spelling of 16404640 in words is "sixteen million, four hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 97 112 140 151 160 194 224 280 302 388 485 560 604 679 755 776 970 1057 1120 1208 1358 1510 1552 1940 2114 2416 2716 3020 3104 3395 3880 4228 4832 5285 5432 6040 6790 7760 8456 10570 10864 12080 13580 14647 15520 16912 21140 21728 24160 27160 29294 33824 42280 54320 58588 73235 84560 102529 108640 117176 146470 169120 205058 234352 292940 410116 468704 512645 585880 820232 1025290 1171760 1640464 2050580 2343520 3280928 4101160 8202320 16404640