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152205361 = 7115633511
BaseRepresentation
bin10010001001001…
…11100000110001
3101121101211111121
421010213200301
5302431032421
623034142241
73525503260
oct1104474061
9347354447
10152205361
1178a09160
1242b81981
13256c1959
14163005d7
15d567d41
hex9127831

152205361 has 16 divisors (see below), whose sum is σ = 190153728. Its totient is φ = 118357200.

The previous prime is 152205353. The next prime is 152205367. The reversal of 152205361 is 163502251.

It is a cyclic number.

It is not a de Polignac number, because 152205361 - 23 = 152205353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152205367) 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 15 ways as a sum of consecutive naturals, for example, 41596 + ... + 45106.

It is an arithmetic number, because the mean of its divisors is an integer number (11884608).

Almost surely, 2152205361 is an apocalyptic number.

152205361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

152205361 is a deficient number, since it is larger than the sum of its proper divisors (37948367).

152205361 is a wasteful number, since it uses less digits than its factorization.

152205361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 152205361 is about 12337.1536830827. The cubic root of 152205361 is about 533.9205661606.

The spelling of 152205361 in words is "one hundred fifty-two million, two hundred five thousand, three hundred sixty-one".

Divisors: 1 7 11 77 563 3511 3941 6193 24577 38621 43351 270347 1976693 13836851 21743623 152205361