Search a number
-
+
2145456 = 243247317
BaseRepresentation
bin1000001011110010110000
311001000000100
420023302300
51022123311
6113552400
724143655
oct10136260
94030010
102145456
111235a05
12875700
135a1701
143dbc2c
152c5a56
hex20bcb0

2145456 has 60 divisors (see below), whose sum is σ = 6151392. Its totient is φ = 697728.

The previous prime is 2145443. The next prime is 2145469. The reversal of 2145456 is 6545412.

It is an interprime number because it is at equal distance from previous prime (2145443) and next prime (2145469).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6610 + ... + 6926.

22145456 is an apocalyptic number.

2145456 is the 846-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075696).

2145456 is an abundant number, since it is smaller than the sum of its proper divisors (4005936).

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

2145456 is a wasteful number, since it uses less digits than its factorization.

2145456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2145456 is about 1464.7375191481. The cubic root of 2145456 is about 128.9752972349.

It can be divided in two parts, 2145 and 456, that added together give a square (2601 = 512).

The spelling of 2145456 in words is "two million, one hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 317 376 423 564 634 752 846 951 1128 1268 1692 1902 2256 2536 2853 3384 3804 5072 5706 6768 7608 11412 14899 15216 22824 29798 44697 45648 59596 89394 119192 134091 178788 238384 268182 357576 536364 715152 1072728 2145456