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145710664 = 23113121723
BaseRepresentation
bin10001010111101…
…01111001001000
3101011011212110021
420223311321020
5244300220124
622243030224
73416343301
oct1053657110
9334155407
10145710664
1175282640
124096b374
1324259738
14154cd7a8
15cbd37e4
hex8af5e48

145710664 has 48 divisors (see below), whose sum is σ = 308147760. Its totient is φ = 64058400.

The previous prime is 145710661. The next prime is 145710683. The reversal of 145710664 is 466017541.

145710664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145710661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83707 + ... + 85429.

It is an arithmetic number, because the mean of its divisors is an integer number (6419745).

Almost surely, 2145710664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145710664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154073880).

145710664 is an abundant number, since it is smaller than the sum of its proper divisors (162437096).

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

145710664 is a wasteful number, since it uses less digits than its factorization.

145710664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 145710664 is about 12071.0672270516. The cubic root of 145710664 is about 526.2156729527.

It can be divided in two parts, 1457 and 10664, that added together give a palindrome (12121).

The spelling of 145710664 in words is "one hundred forty-five million, seven hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 961 1364 1723 1922 2728 3446 3844 6892 7688 10571 13784 18953 21142 37906 42284 53413 75812 84568 106826 151624 213652 427304 587543 1175086 1655803 2350172 3311606 4700344 6623212 13246424 18213833 36427666 72855332 145710664