Search a number
-
+
16397004 = 22313891181
BaseRepresentation
bin111110100011…
…001011001100
31010212001110110
4332203023030
513144201004
61343240020
7256241451
oct76431314
933761413
1016397004
11928a348
1255a9010
133521490
14226b828
15168d589
hexfa32cc

16397004 has 48 divisors (see below), whose sum is σ = 41700960. Its totient is φ = 4984320.

The previous prime is 16396997. The next prime is 16397009. The reversal of 16397004 is 40079361.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16397009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13294 + ... + 14474.

It is an arithmetic number, because the mean of its divisors is an integer number (868770).

Almost surely, 216397004 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 16397004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20850480).

16397004 is an abundant number, since it is smaller than the sum of its proper divisors (25303956).

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

16397004 is a wasteful number, since it uses less digits than its factorization.

16397004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 16397004 is about 4049.3214246340. The cubic root of 16397004 is about 254.0513463889.

The spelling of 16397004 in words is "sixteen million, three hundred ninety-seven thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 267 356 534 1068 1157 1181 2314 2362 3471 3543 4628 4724 6942 7086 13884 14172 15353 30706 46059 61412 92118 105109 184236 210218 315327 420436 630654 1261308 1366417 2732834 4099251 5465668 8198502 16397004