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140975640 = 23345133347
BaseRepresentation
bin10000110011100…
…01111000011000
3100211021022020000
420121301320120
5242042210030
621553333000
73331162461
oct1031617030
9324238200
10140975640
11726390a3
123b267160
132328c450
1414a19d68
15c59a860
hex8671e18

140975640 has 160 divisors (see below), whose sum is σ = 510436080. Its totient is φ = 34691328.

The previous prime is 140975633. The next prime is 140975657. The reversal of 140975640 is 46579041.

140975640 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 7 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140975595 and 140975604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40447 + ... + 43793.

Almost surely, 2140975640 is an apocalyptic number.

140975640 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 140975640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255218040).

140975640 is an abundant number, since it is smaller than the sum of its proper divisors (369460440).

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

140975640 is a wasteful number, since it uses less digits than its factorization.

140975640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 140975640 is about 11873.3163016909. The cubic root of 140975640 is about 520.4528107108.

The spelling of 140975640 in words is "one hundred forty million, nine hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3347 3510 4212 4680 5265 6694 7020 8424 10041 10530 13388 14040 16735 20082 21060 26776 30123 33470 40164 42120 43511 50205 60246 66940 80328 87022 90369 100410 120492 130533 133880 150615 174044 180738 200820 217555 240984 261066 271107 301230 348088 361476 391599 401640 435110 451845 522132 542214 602460 652665 722952 783198 870220 903690 1044264 1084428 1174797 1204920 1305330 1355535 1566396 1740440 1807380 1957995 2168856 2349594 2610660 2711070 3132792 3524391 3614760 3915990 4699188 5221320 5422140 5873985 7048782 7831980 9398376 10844280 11747970 14097564 15663960 17621955 23495940 28195128 35243910 46991880 70487820 140975640