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142070940 = 22325113593
BaseRepresentation
bin10000111011111…
…01010010011100
3100220022221200200
420131331102130
5242332232230
622033023500
73343403664
oct1035752234
9326287620
10142070940
1173217000
123b6b4b90
1323583b5b
1414c231a4
15c715160
hex877d49c

142070940 has 144 divisors (see below), whose sum is σ = 474810336. Its totient is φ = 34383360.

The previous prime is 142070933. The next prime is 142070947. The reversal of 142070940 is 49070241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142070933) and next prime (142070947).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142070947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239284 + ... + 239876.

It is an arithmetic number, because the mean of its divisors is an integer number (3297294).

Almost surely, 2142070940 is an apocalyptic number.

142070940 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 142070940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237405168).

142070940 is an abundant number, since it is smaller than the sum of its proper divisors (332739396).

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

142070940 is a wasteful number, since it uses less digits than its factorization.

142070940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 142070940 is about 11919.3514924261. The cubic root of 142070940 is about 521.7972084079.

The spelling of 142070940 in words is "one hundred forty-two million, seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 593 605 660 726 990 1089 1186 1210 1331 1452 1779 1815 1980 2178 2372 2420 2662 2965 3558 3630 3993 4356 5324 5337 5445 5930 6523 6655 7116 7260 7986 8895 10674 10890 11860 11979 13046 13310 15972 17790 19569 19965 21348 21780 23958 26092 26620 26685 32615 35580 39138 39930 47916 53370 58707 59895 65230 71753 78276 79860 97845 106740 117414 119790 130460 143506 195690 215259 234828 239580 287012 293535 358765 391380 430518 587070 645777 717530 789283 861036 1076295 1174140 1291554 1435060 1578566 2152590 2367849 2583108 3157132 3228885 3946415 4305180 4735698 6457770 7103547 7892830 9471396 11839245 12915540 14207094 15785660 23678490 28414188 35517735 47356980 71035470 142070940