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144997720 = 23574312043
BaseRepresentation
bin10001010010001…
…11110101011000
3101002211122110221
420221013311120
5244104411340
622215445424
73410313610
oct1051076530
9332748427
10144997720
1174935a2a
1240686874
132406a08a
1415385a40
15cae244a
hex8a47d58

144997720 has 64 divisors (see below), whose sum is σ = 381553920. Its totient is φ = 48553344.

The previous prime is 144997717. The next prime is 144997729. The reversal of 144997720 is 27799441.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144997729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6019 + ... + 18061.

It is an arithmetic number, because the mean of its divisors is an integer number (5961780).

Almost surely, 2144997720 is an apocalyptic number.

144997720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144997720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190776960).

144997720 is an abundant number, since it is smaller than the sum of its proper divisors (236556200).

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

144997720 is a wasteful number, since it uses less digits than its factorization.

144997720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 144997720 is about 12041.4999065731. The cubic root of 144997720 is about 525.3560336302.

The spelling of 144997720 in words is "one hundred forty-four million, nine hundred ninety-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 12040 12043 24086 48172 60215 84301 96344 120430 168602 240860 337204 421505 481720 517849 674408 843010 1035698 1686020 2071396 2589245 3372040 3624943 4142792 5178490 7249886 10356980 14499772 18124715 20713960 28999544 36249430 72498860 144997720