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145011174 = 237112811117
BaseRepresentation
bin10001010010010…
…11000111100110
3101002212022221020
420221023013212
5244110324144
622220032010
73410401050
oct1051130746
9332768836
10145011174
1174945050
1240692606
1324073239
141538a8d0
15cae6419
hex8a4b1e6

145011174 has 64 divisors (see below), whose sum is σ = 363197952. Its totient is φ = 37497600.

The previous prime is 145011169. The next prime is 145011193. The reversal of 145011174 is 471110541.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 129264 + ... + 130380.

It is an arithmetic number, because the mean of its divisors is an integer number (5674968).

Almost surely, 2145011174 is an apocalyptic number.

145011174 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145011174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181598976).

145011174 is an abundant number, since it is smaller than the sum of its proper divisors (218186778).

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

145011174 is a wasteful number, since it uses less digits than its factorization.

145011174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421.

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 145011174 is about 12042.0585449499. The cubic root of 145011174 is about 525.3722819810.

The spelling of 145011174 in words is "one hundred forty-five million, eleven thousand, one hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 281 462 562 843 1117 1686 1967 2234 3091 3351 3934 5901 6182 6702 7819 9273 11802 12287 15638 18546 21637 23457 24574 36861 43274 46914 64911 73722 86009 129822 172018 258027 313877 516054 627754 941631 1883262 2197139 3452647 4394278 6591417 6905294 10357941 13182834 20715882 24168529 48337058 72505587 145011174