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241072640 = 29594169
BaseRepresentation
bin11100101111001…
…11101000000000
3121210121202111022
432113213220000
5443203311030
635531005012
75655040454
oct1627475000
9553552438
10241072640
11114096496
1268899768
133ac38143
1424034664
151626dde5
hexe5e7a00

241072640 has 40 divisors (see below), whose sum is σ = 578015460. Its totient is φ = 96428032.

The previous prime is 241072639. The next prime is 241072681. The reversal of 241072640 is 46270142.

It can be written as a sum of positive squares in 2 ways, for example, as 227647744 + 13424896 = 15088^2 + 3664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 44525 + ... + 49644.

Almost surely, 2241072640 is an apocalyptic number.

241072640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241072640 is an abundant number, since it is smaller than the sum of its proper divisors (336942820).

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

241072640 is an frugal number, since it uses more digits than its factorization.

241072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94192 (or 94176 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 241072640 is about 15526.5140968602. The cubic root of 241072640 is about 622.3709425309.

The spelling of 241072640 in words is "two hundred forty-one million, seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 94169 188338 376676 470845 753352 941690 1506704 1883380 3013408 3766760 6026816 7533520 12053632 15067040 24107264 30134080 48214528 60268160 120536320 241072640