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2697696 = 2532171929
BaseRepresentation
bin1010010010100111100000
312002001112200
422102213200
51142311241
6133453200
731634001
oct12224740
95061480
102697696
111582901
12aa1200
13735b91
145031a8
153844b6
hex2929e0

2697696 has 144 divisors (see below), whose sum is σ = 8845200. Its totient is φ = 774144.

The previous prime is 2697689. The next prime is 2697697. The reversal of 2697696 is 6967962.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (244944) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2697697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93010 + ... + 93038.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

22697696 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 2697696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422600).

2697696 is an abundant number, since it is smaller than the sum of its proper divisors (6147504).

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

2697696 is a wasteful number, since it uses less digits than its factorization.

2697696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 2697696 is about 1642.4664380133. The cubic root of 2697696 is about 139.2080455120.

It can be divided in two parts, 26976 and 96, that added together give a palindrome (27072).

The spelling of 2697696 in words is "two million, six hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 29 32 34 36 38 48 51 57 58 68 72 76 87 96 102 114 116 136 144 152 153 171 174 204 228 232 261 272 288 304 306 323 342 348 408 456 464 493 522 544 551 608 612 646 684 696 816 912 928 969 986 1044 1102 1224 1292 1368 1392 1479 1632 1653 1824 1938 1972 2088 2204 2448 2584 2736 2784 2907 2958 3306 3876 3944 4176 4408 4437 4896 4959 5168 5472 5814 5916 6612 7752 7888 8352 8816 8874 9367 9918 10336 11628 11832 13224 15504 15776 17632 17748 18734 19836 23256 23664 26448 28101 31008 35496 37468 39672 46512 47328 52896 56202 70992 74936 79344 84303 93024 112404 141984 149872 158688 168606 224808 299744 337212 449616 674424 899232 1348848 2697696