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122593005 = 3252993941
BaseRepresentation
bin1110100111010…
…01111011101101
322112200100222200
413103221323231
5222340434010
620055332113
73016011003
oct723517355
9275610880
10122593005
1163222a37
1235081039
131c524252
14123d2a73
15ab68cc0
hex74e9eed

122593005 has 24 divisors (see below), whose sum is σ = 219824280. Its totient is φ = 63127680.

The previous prime is 122592991. The next prime is 122593019. The reversal of 122593005 is 500395221.

It is an interprime number because it is at equal distance from previous prime (122592991) and next prime (122593019).

It can be written as a sum of positive squares in 4 ways, for example, as 4848804 + 117744201 = 2202^2 + 10851^2 .

It is not a de Polignac number, because 122593005 - 24 = 122592989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122593005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45666 + ... + 48275.

It is an arithmetic number, because the mean of its divisors is an integer number (9159345).

Almost surely, 2122593005 is an apocalyptic number.

122593005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122593005 is a deficient number, since it is larger than the sum of its proper divisors (97231275).

122593005 is a wasteful number, since it uses less digits than its factorization.

122593005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93981 (or 93978 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 122593005 is about 11072.1725510398. The cubic root of 122593005 is about 496.7698505395.

The spelling of 122593005 in words is "one hundred twenty-two million, five hundred ninety-three thousand, five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 93941 281823 469705 845469 1409115 2724289 4227345 8172867 13621445 24518601 40864335 122593005