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245406240 = 2533556807
BaseRepresentation
bin11101010000010…
…01101000100000
3122002202221002000
432220021220200
51000310444430
640203524000
76036630042
oct1650115040
9562687060
10245406240
11116586382
126a229600
133bac47c1
1424841a92
1516827e60
hexea09a20

245406240 has 96 divisors (see below), whose sum is σ = 858936960. Its totient is φ = 65440512.

The previous prime is 245406221. The next prime is 245406253. The reversal of 245406240 is 42604542.

245406240 is a `hidden beast` number, since 24 + 540 + 62 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 24084 + ... + 32723.

It is an arithmetic number, because the mean of its divisors is an integer number (8947260).

Almost surely, 2245406240 is an apocalyptic number.

245406240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245406240 is an abundant number, since it is smaller than the sum of its proper divisors (613530720).

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

245406240 is a wasteful number, since it uses less digits than its factorization.

245406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56831 (or 56817 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 245406240 is about 15665.4473284359. The cubic root of 245406240 is about 626.0781306123.

The spelling of 245406240 in words is "two hundred forty-five million, four hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 56807 113614 170421 227228 284035 340842 454456 511263 568070 681684 852105 908912 1022526 1136140 1363368 1533789 1704210 1817824 2045052 2272280 2556315 2726736 3067578 3408420 4090104 4544560 5112630 5453472 6135156 6816840 7668945 8180208 9089120 10225260 12270312 13633680 15337890 16360416 20450520 24540624 27267360 30675780 40901040 49081248 61351560 81802080 122703120 245406240