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142012980 = 22335409643
BaseRepresentation
bin10000111011011…
…11001000110100
3100220020000012000
420131233020310
5242323403410
622031455300
73343043004
oct1035571064
9326200160
10142012980
11731874aa
123b687530
1323563665
1414c0a004
15c702dc0
hex876f234

142012980 has 96 divisors (see below), whose sum is σ = 443587200. Its totient is φ = 37718784.

The previous prime is 142012979. The next prime is 142012987. The reversal of 142012980 is 89210241.

142012980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142012987) 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, 220539 + ... + 221181.

It is an arithmetic number, because the mean of its divisors is an integer number (4620700).

Almost surely, 2142012980 is an apocalyptic number.

142012980 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 142012980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221793600).

142012980 is an abundant number, since it is smaller than the sum of its proper divisors (301574220).

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

142012980 is a wasteful number, since it uses less digits than its factorization.

142012980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 142012980 is about 11916.9199040692. The cubic root of 142012980 is about 521.7262403881.

It can be divided in two parts, 1420 and 12980, that added together give a square (14400 = 1202).

The spelling of 142012980 in words is "one hundred forty-two million, twelve thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 409 540 643 818 1227 1286 1636 1929 2045 2454 2572 3215 3681 3858 4090 4908 5787 6135 6430 7362 7716 8180 9645 11043 11574 12270 12860 14724 17361 18405 19290 22086 23148 24540 28935 34722 36810 38580 44172 55215 57870 69444 73620 86805 110430 115740 173610 220860 262987 347220 525974 788961 1051948 1314935 1577922 2366883 2629870 3155844 3944805 4733766 5259740 7100649 7889610 9467532 11834415 14201298 15779220 23668830 28402596 35503245 47337660 71006490 142012980