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245775040 = 2657109721
BaseRepresentation
bin11101010011000…
…11101011000000
3122010110122222021
432221203223000
51000404300130
640215451224
76043024210
oct1651435300
9563418867
10245775040
11116808475
126a386b14
133bbc3624
14248da240
151689c37a
hexea63ac0

245775040 has 56 divisors (see below), whose sum is σ = 668865312. Its totient is φ = 84264960.

The previous prime is 245775031. The next prime is 245775043. The reversal of 245775040 is 40577542.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 245774987 and 245775005.

It is not an unprimeable number, because it can be changed into a prime (245775043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52621 + ... + 57100.

Almost surely, 2245775040 is an apocalyptic number.

245775040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245775040 is an abundant number, since it is smaller than the sum of its proper divisors (423090272).

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

245775040 is a wasteful number, since it uses less digits than its factorization.

245775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109745 (or 109735 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 34.

The square root of 245775040 is about 15677.2140382148. The cubic root of 245775040 is about 626.3916000194.

The spelling of 245775040 in words is "two hundred forty-five million, seven hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 109721 219442 438884 548605 768047 877768 1097210 1536094 1755536 2194420 3072188 3511072 3840235 4388840 6144376 7022144 7680470 8777680 12288752 15360940 17555360 24577504 30721880 35110720 49155008 61443760 122887520 245775040