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142722580 = 225711137129
BaseRepresentation
bin10001000000111…
…00011000010100
3100221120001120111
420200130120110
5243014110310
622055012404
73352056550
oct1040343024
9327501514
10142722580
1173621650
123b96a104
1323751640
1414d52860
15c7e328a
hex881c614

142722580 has 96 divisors (see below), whose sum is σ = 402474240. Its totient is φ = 41057280.

The previous prime is 142722571. The next prime is 142722581. The reversal of 142722580 is 85227241.

It is a happy number.

It is a super-3 number, since 3×1427225803 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142722581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16456 + ... + 23584.

It is an arithmetic number, because the mean of its divisors is an integer number (4192440).

Almost surely, 2142722580 is an apocalyptic number.

142722580 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 142722580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201237120).

142722580 is an abundant number, since it is smaller than the sum of its proper divisors (259751660).

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

142722580 is a wasteful number, since it uses less digits than its factorization.

142722580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7169 (or 7167 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 142722580 is about 11946.6555989532. The cubic root of 142722580 is about 522.5937714686.

The spelling of 142722580 in words is "one hundred forty-two million, seven hundred twenty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 7129 10010 14258 20020 28516 35645 49903 71290 78419 92677 99806 142580 156838 185354 199612 249515 313676 370708 392095 463385 499030 548933 648739 784190 926770 998060 1019447 1097866 1297478 1568380 1853540 2038894 2195732 2594956 2744665 3243695 4077788 5097235 5489330 6487390 7136129 10194470 10978660 12974780 14272258 20388940 28544516 35680645 71361290 142722580