Search a number
-
+
245421600 = 25352102259
BaseRepresentation
bin11101010000011…
…01011000100000
3122002210201010220
432220031120200
51000311442400
640204123040
76040022604
oct1650153040
9562721126
10245421600
11116596976
126a236480
133bacb7a8
1424847504
151682c7a0
hexea0d620

245421600 has 72 divisors (see below), whose sum is σ = 798855120. Its totient is φ = 65445120.

The previous prime is 245421599. The next prime is 245421601. The reversal of 245421600 is 6124542.

It is an interprime number because it is at equal distance from previous prime (245421599) and next prime (245421601).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (245421601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48730 + ... + 53529.

It is an arithmetic number, because the mean of its divisors is an integer number (11095210).

Almost surely, 2245421600 is an apocalyptic number.

245421600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245421600 is an abundant number, since it is smaller than the sum of its proper divisors (553433520).

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

245421600 is a wasteful number, since it uses less digits than its factorization.

245421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102282 (or 102269 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 245421600 is about 15665.9375716872. The cubic root of 245421600 is about 626.0911924365.

The spelling of 245421600 in words is "two hundred forty-five million, four hundred twenty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 102259 204518 306777 409036 511295 613554 818072 1022590 1227108 1533885 1636144 2045180 2454216 2556475 3067770 3272288 4090360 4908432 5112950 6135540 7669425 8180720 9816864 10225900 12271080 15338850 16361440 20451800 24542160 30677700 40903600 49084320 61355400 81807200 122710800 245421600