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2145696 = 253731103
BaseRepresentation
bin1000001011110110100000
311001000100020
420023312200
51022130241
6113553440
724144450
oct10136640
94030306
102145696
111236103
12875880
135a1857
143dbd60
152c5b66
hex20bda0

2145696 has 96 divisors (see below), whose sum is σ = 6709248. Its totient is φ = 587520.

The previous prime is 2145683. The next prime is 2145707. The reversal of 2145696 is 6965412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21456962 = 9208022648832, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

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, 20781 + ... + 20883.

It is an arithmetic number, because the mean of its divisors is an integer number (69888).

22145696 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 2145696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354624).

2145696 is an abundant number, since it is smaller than the sum of its proper divisors (4563552).

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

2145696 is a wasteful number, since it uses less digits than its factorization.

2145696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 2145696 is about 1464.8194427983. The cubic root of 2145696 is about 128.9801063007.

The spelling of 2145696 in words is "two million, one hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 103 112 124 168 186 206 217 224 248 309 336 372 412 434 496 618 651 672 721 744 824 868 992 1236 1302 1442 1488 1648 1736 2163 2472 2604 2884 2976 3193 3296 3472 4326 4944 5208 5768 6386 6944 8652 9579 9888 10416 11536 12772 17304 19158 20832 22351 23072 25544 34608 38316 44702 51088 67053 69216 76632 89404 102176 134106 153264 178808 268212 306528 357616 536424 715232 1072848 2145696