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141937840 = 2451133143
BaseRepresentation
bin10000111010111…
…00110010110000
3100220002012010001
420131130302300
5242314002330
622030115344
73342310642
oct1035346260
9326065101
10141937840
1173136000
123b64bb54
13235383b5
1414bca892
15c6da9ca
hex875ccb0

141937840 has 160 divisors (see below), whose sum is σ = 383404032. Its totient is φ = 48787200.

The previous prime is 141937837. The next prime is 141937841. The reversal of 141937840 is 48739141.

It is a self number, because there is not a number n which added to its sum of digits gives 141937840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141937841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3300859 + ... + 3300901.

Almost surely, 2141937840 is an apocalyptic number.

141937840 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 141937840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191702016).

141937840 is an abundant number, since it is smaller than the sum of its proper divisors (241466192).

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

141937840 is a wasteful number, since it uses less digits than its factorization.

141937840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 141937840 is about 11913.7668266590. The cubic root of 141937840 is about 521.6342078949.

The spelling of 141937840 in words is "one hundred forty-one million, nine hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 43 44 55 62 80 86 88 110 121 124 155 172 176 215 220 242 248 310 341 344 430 440 473 484 496 605 620 682 688 860 880 946 968 1210 1240 1331 1333 1364 1705 1720 1892 1936 2365 2420 2480 2662 2666 2728 3410 3440 3751 3784 4730 4840 5203 5324 5332 5456 6655 6665 6820 7502 7568 9460 9680 10406 10648 10664 13310 13330 13640 14663 15004 18755 18920 20812 21296 21328 26015 26620 26660 27280 29326 30008 37510 37840 41261 41624 52030 53240 53320 57233 58652 60016 73315 75020 82522 83248 104060 106480 106640 114466 117304 146630 150040 161293 165044 206305 208120 228932 234608 286165 293260 300080 322586 330088 412610 416240 457864 572330 586520 645172 660176 806465 825220 915728 1144660 1173040 1290344 1612930 1650440 1774223 2289320 2580688 3225860 3300880 3548446 4578640 6451720 7096892 8871115 12903440 14193784 17742230 28387568 35484460 70968920 141937840