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142468080 = 243519157199
BaseRepresentation
bin10000111110111…
…10001111110000
3100221002010110120
420133132033300
5242432434310
622045330240
73346646556
oct1037361760
9327063416
10142468080
1173468417
123b866980
1323692851
1414cc7bd6
15c792b70
hex87de3f0

142468080 has 160 divisors (see below), whose sum is σ = 470208000. Its totient is φ = 35582976.

The previous prime is 142468057. The next prime is 142468091. The reversal of 142468080 is 80864241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715821 + ... + 716019.

It is an arithmetic number, because the mean of its divisors is an integer number (2938800).

Almost surely, 2142468080 is an apocalyptic number.

142468080 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 142468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235104000).

142468080 is an abundant number, since it is smaller than the sum of its proper divisors (327739920).

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

142468080 is a wasteful number, since it uses less digits than its factorization.

142468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 142468080 is about 11935.9993297587. Note that the first 3 decimals coincide. The cubic root of 142468080 is about 522.2829604589.

The spelling of 142468080 in words is "one hundred forty-two million, four hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 157 190 199 228 240 285 304 314 380 398 456 471 570 597 628 760 785 796 912 942 995 1140 1194 1256 1520 1570 1592 1884 1990 2280 2355 2388 2512 2983 2985 3140 3184 3768 3781 3980 4560 4710 4776 5966 5970 6280 7536 7562 7960 8949 9420 9552 11343 11932 11940 12560 14915 15124 15920 17898 18840 18905 22686 23864 23880 29830 30248 31243 35796 37680 37810 44745 45372 47728 47760 56715 59660 60496 62486 71592 75620 89490 90744 93729 113430 119320 124972 143184 151240 156215 178980 181488 187458 226860 238640 249944 302480 312430 357960 374916 453720 468645 499888 593617 624860 715920 749832 907440 937290 1187234 1249720 1499664 1780851 1874580 2374468 2499440 2968085 3561702 3749160 4748936 5936170 7123404 7498320 8904255 9497872 11872340 14246808 17808510 23744680 28493616 35617020 47489360 71234040 142468080