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142436320 = 2551331472
BaseRepresentation
bin10000111110101…
…10011111100000
3100221000111220021
420133112133200
5242430430240
622044523224
73346455145
oct1037263740
9327014807
10142436320
1173446574
123b850514
1323681260
1414cba3cc
15c78854a
hex87d67e0

142436320 has 144 divisors (see below), whose sum is σ = 382209408. Its totient is φ = 49812480.

The previous prime is 142436311. The next prime is 142436341. The reversal of 142436320 is 23634241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3030537 + ... + 3030583.

It is an arithmetic number, because the mean of its divisors is an integer number (2654232).

Almost surely, 2142436320 is an apocalyptic number.

142436320 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 142436320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191104704).

142436320 is an abundant number, since it is smaller than the sum of its proper divisors (239773088).

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

142436320 is a wasteful number, since it uses less digits than its factorization.

142436320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 142436320 is about 11934.6688265741. The cubic root of 142436320 is about 522.2441472276.

The spelling of 142436320 in words is "one hundred forty-two million, four hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 47 52 62 65 80 94 104 124 130 155 160 188 208 235 248 260 310 376 403 416 470 496 520 611 620 752 806 940 992 1040 1222 1240 1457 1504 1612 1880 2015 2080 2209 2444 2480 2914 3055 3224 3760 4030 4418 4888 4960 5828 6110 6448 7285 7520 8060 8836 9776 11045 11656 12220 12896 14570 16120 17672 18941 19552 22090 23312 24440 28717 29140 32240 35344 37882 44180 46624 48880 57434 58280 64480 68479 70688 75764 88360 94705 97760 114868 116560 136958 143585 151528 176720 189410 229736 233120 273916 287170 303056 342395 353440 378820 459472 547832 574340 606112 684790 757640 890227 918944 1095664 1148680 1369580 1515280 1780454 2191328 2297360 2739160 3030560 3560908 4451135 4594720 5478320 7121816 8902270 10956640 14243632 17804540 28487264 35609080 71218160 142436320