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142484320 = 25511731109
BaseRepresentation
bin10000111111000…
…10001101100000
3100221002221202001
420133202031200
5242433444240
622045533344
73350045116
oct1037421540
9327087661
10142484320
1173479640
123b874254
132369a064
1414ccdab6
15c79789a
hex87e2360

142484320 has 96 divisors (see below), whose sum is σ = 372587040. Its totient is φ = 51056640.

The previous prime is 142484317. The next prime is 142484323. The reversal of 142484320 is 23484241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142484317) and next prime (142484323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142484323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127926 + ... + 129034.

It is an arithmetic number, because the mean of its divisors is an integer number (3881115).

Almost surely, 2142484320 is an apocalyptic number.

142484320 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 142484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186293520).

142484320 is an abundant number, since it is smaller than the sum of its proper divisors (230102720).

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

142484320 is a wasteful number, since it uses less digits than its factorization.

142484320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 142484320 is about 11936.6796053174. The cubic root of 142484320 is about 522.3028047941.

The spelling of 142484320 in words is "one hundred forty-two million, four hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 73 80 88 110 146 160 176 220 292 352 365 440 584 730 803 880 1109 1168 1460 1606 1760 2218 2336 2920 3212 4015 4436 5545 5840 6424 8030 8872 11090 11680 12199 12848 16060 17744 22180 24398 25696 32120 35488 44360 48796 60995 64240 80957 88720 97592 121990 128480 161914 177440 195184 243980 323828 390368 404785 487960 647656 809570 890527 975920 1295312 1619140 1781054 1951840 2590624 3238280 3562108 4452635 6476560 7124216 8905270 12953120 14248432 17810540 28496864 35621080 71242160 142484320