Search a number
-
+
16402968 = 2332317349
BaseRepresentation
bin111110100100…
…101000011000
31010212100122100
4332210220120
513144343333
61343323400
7256265031
oct76445030
933770570
1016402968
11929387a
1255b0560
1335240ca
14226da88
151690213
hexfa4a18

16402968 has 48 divisors (see below), whose sum is σ = 45864000. Its totient is φ = 5290560.

The previous prime is 16402949. The next prime is 16403017. The reversal of 16402968 is 86920461.

16402968 is a `hidden beast` number, since 1 + 640 + 2 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1443 + ... + 5906.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 216402968 is an apocalyptic number.

16402968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16402968 is an abundant number, since it is smaller than the sum of its proper divisors (29461032).

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

16402968 is a wasteful number, since it uses less digits than its factorization.

16402968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16402968 is about 4050.0577773657. The cubic root of 16402968 is about 254.0821442625.

The spelling of 16402968 in words is "sixteen million, four hundred two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 7349 14698 22047 29396 44094 58792 66141 88188 132282 176376 227819 264564 455638 529128 683457 911276 1366914 1822552 2050371 2733828 4100742 5467656 8201484 16402968