Search a number
-
+
16412880 = 2435116217
BaseRepresentation
bin111110100111…
…000011010000
31010212212020110
4332213003100
513200203010
61343441320
7256335651
oct76470320
933785213
1016412880
1192a0270
1255b6240
133528783
142273528
151693120
hexfa70d0

16412880 has 80 divisors (see below), whose sum is σ = 55514304. Its totient is φ = 3978240.

The previous prime is 16412873. The next prime is 16412897. The reversal of 16412880 is 8821461.

16412880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 469 + ... + 5748.

Almost surely, 216412880 is an apocalyptic number.

16412880 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 16412880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27757152).

16412880 is an abundant number, since it is smaller than the sum of its proper divisors (39101424).

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

16412880 is a wasteful number, since it uses less digits than its factorization.

16412880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 16412880 is about 4051.2812788055. The cubic root of 16412880 is about 254.1333129513.

The spelling of 16412880 in words is "sixteen million, four hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 6217 12434 18651 24868 31085 37302 49736 62170 68387 74604 93255 99472 124340 136774 149208 186510 205161 248680 273548 298416 341935 373020 410322 497360 547096 683870 746040 820644 1025805 1094192 1367740 1492080 1641288 2051610 2735480 3282576 4103220 5470960 8206440 16412880