Search a number
-
+
16274440 = 23571317263
BaseRepresentation
bin111110000101…
…010000001000
31010121211100001
4332011100020
513131240230
61340452344
7255221230
oct76052010
933554301
1016274440
119206256
12554a0b4
1334aa760
142238cc0
1516670ca
hexf85408

16274440 has 128 divisors (see below), whose sum is σ = 47900160. Its totient is φ = 4829184.

The previous prime is 16274437. The next prime is 16274441. The reversal of 16274440 is 4447261.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 16274399 and 16274408.

It is not an unprimeable number, because it can be changed into a prime (16274441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61749 + ... + 62011.

It is an arithmetic number, because the mean of its divisors is an integer number (374220).

Almost surely, 216274440 is an apocalyptic number.

16274440 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 16274440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

16274440 is an abundant number, since it is smaller than the sum of its proper divisors (31625720).

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

16274440 is a wasteful number, since it uses less digits than its factorization.

16274440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 16274440 is about 4034.1591441092. The cubic root of 16274440 is about 253.4167699928.

The spelling of 16274440 in words is "sixteen million, two hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 91 104 119 130 136 140 170 182 221 238 260 263 280 340 364 442 455 476 520 526 595 680 728 884 910 952 1052 1105 1190 1315 1547 1768 1820 1841 2104 2210 2380 2630 3094 3419 3640 3682 4420 4471 4760 5260 6188 6838 7364 7735 8840 8942 9205 10520 12376 13676 14728 15470 17095 17884 18410 22355 23933 27352 30940 31297 34190 35768 36820 44710 47866 58123 61880 62594 68380 73640 89420 95732 116246 119665 125188 136760 156485 178840 191464 232492 239330 250376 290615 312970 406861 464984 478660 581230 625940 813722 957320 1162460 1251880 1627444 2034305 2324920 3254888 4068610 8137220 16274440