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145668744 = 233213198191
BaseRepresentation
bin10001010111010…
…11101010001000
3101011002201221200
420223223222020
5244242344434
622242104200
73416110134
oct1053535210
9334081850
10145668744
11752540a1
124094b060
1324243630
14154bc3c4
15cbc6199
hex8aeba88

145668744 has 96 divisors (see below), whose sum is σ = 447283200. Its totient is φ = 42456960.

The previous prime is 145668739. The next prime is 145668773. The reversal of 145668744 is 447866541.

145668744 is a `hidden beast` number, since 1 + 4 + 566 + 87 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 145668744.

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 23 ways as a sum of consecutive naturals, for example, 13689 + ... + 21879.

It is an arithmetic number, because the mean of its divisors is an integer number (4659200).

Almost surely, 2145668744 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 145668744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223641600).

145668744 is an abundant number, since it is smaller than the sum of its proper divisors (301614456).

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

145668744 is a wasteful number, since it uses less digits than its factorization.

145668744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8228 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 145668744 is about 12069.3307188096. The cubic root of 145668744 is about 526.1652051829.

The spelling of 145668744 in words is "one hundred forty-five million, six hundred sixty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5928 8191 8892 16382 17784 24573 32764 49146 65528 73719 98292 106483 147438 155629 196584 212966 294876 311258 319449 425932 466887 589752 622516 638898 851864 933774 958347 1245032 1277796 1400661 1867548 1916694 2023177 2555592 2801322 3735096 3833388 4046354 5602644 6069531 7666776 8092708 11205288 12139062 16185416 18208593 24278124 36417186 48556248 72834372 145668744