Search a number
-
+
16403904 = 263311863
BaseRepresentation
bin111110100100…
…110111000000
31010212101221000
4332210313000
513144411104
61343332000
7256300536
oct76446700
933771830
1016403904
119294550
1255b1000
13352466a
142270156
151690639
hexfa4dc0

16403904 has 112 divisors (see below), whose sum is σ = 52669440. Its totient is φ = 4965120.

The previous prime is 16403887. The next prime is 16403923. The reversal of 16403904 is 40930461.

16403904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 18577 + ... + 19439.

Almost surely, 216403904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334720).

16403904 is an abundant number, since it is smaller than the sum of its proper divisors (36265536).

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

16403904 is a wasteful number, since it uses less digits than its factorization.

16403904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 16403904 is about 4050.1733296243. The cubic root of 16403904 is about 254.0869770538.

The spelling of 16403904 in words is "sixteen million, four hundred three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 863 864 1056 1188 1584 1726 1728 2112 2376 2589 3168 3452 4752 5178 6336 6904 7767 9493 9504 10356 13808 15534 18986 19008 20712 23301 27616 28479 31068 37972 41424 46602 55232 56958 62136 75944 82848 85437 93204 113916 124272 151888 165696 170874 186408 227832 248544 256311 303776 341748 372816 455664 497088 512622 607552 683496 745632 911328 1025244 1366992 1491264 1822656 2050488 2733984 4100976 5467968 8201952 16403904