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16769025 = 345272132
BaseRepresentation
bin111111111110…
…000000000001
31011112221210000
4333332000001
513243102100
61355230213
7262351200
oct77760001
934487700
1016769025
1195138a9
125748369
133621900
142327237
151713900
hexffe001

16769025 has 135 divisors (see below), whose sum is σ = 39126681. Its totient is φ = 7076160.

The previous prime is 16769023. The next prime is 16769033. The reversal of 16769025 is 52096761.

16769025 = 13 + 23 + ... + 903.

The square root of 16769025 is 4095.

It is a perfect power (a square), and thus also a powerful number.

16769025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4322241 + 12446784 = 2079^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 16769025 - 21 = 16769023 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16769023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1289919 + ... + 1289931.

It is a Proth number, since it is equal to 2047 ⋅ 213 + 1 and 2047 < 213.

Almost surely, 216769025 is an apocalyptic number.

16769025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16769025 is the 4095-th square number.

16769025 is the 2048-th centered octagonal number.

It is an amenable number.

16769025 is an abundant number, since it is smaller than the sum of its proper divisors (22357656).

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

16769025 is a wasteful number, since it uses less digits than its factorization.

16769025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The cubic root of 16769025 is about 255.9583316377.

Multiplying 16769025 by its sum of digits (36), we get a square (603684900 = 245702).

It can be divided in two parts, 1676 and 9025, that added together give a palindrome (10701).

The spelling of 16769025 in words is "sixteen million, seven hundred sixty-nine thousand, twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 49 63 65 75 81 91 105 117 135 147 169 175 189 195 225 245 273 315 325 351 405 441 455 507 525 567 585 637 675 735 819 845 945 975 1053 1183 1225 1323 1365 1521 1575 1755 1911 2025 2205 2275 2457 2535 2835 2925 3185 3549 3675 3969 4095 4225 4563 4725 5265 5733 5915 6615 6825 7371 7605 8281 8775 9555 10647 11025 12285 12675 13689 14175 15925 17199 17745 19845 20475 22815 24843 26325 28665 29575 31941 33075 36855 38025 41405 47775 51597 53235 61425 68445 74529 85995 88725 95823 99225 114075 124215 143325 159705 184275 207025 223587 257985 266175 342225 372645 429975 479115 621075 670761 798525 1117935 1289925 1863225 2395575 3353805 5589675 16769025