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140572080 = 243251117749
BaseRepresentation
bin10000110000011…
…11010110110000
3100210111210122100
420120033112300
5241441301310
621540540400
73324562065
oct1030172660
9323453570
10140572080
1172392980
123b0b1700
132317a85c
1414952c6c
15c51aec0
hex860f5b0

140572080 has 120 divisors (see below), whose sum is σ = 515034000. Its totient is φ = 34076160.

The previous prime is 140572079. The next prime is 140572111. The reversal of 140572080 is 80275041.

140572080 is a `hidden beast` number, since 14 + 0 + 572 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×1405720803 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955 + ... + 16794.

It is an arithmetic number, because the mean of its divisors is an integer number (4291950).

Almost surely, 2140572080 is an apocalyptic number.

140572080 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 140572080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257517000).

140572080 is an abundant number, since it is smaller than the sum of its proper divisors (374461920).

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

140572080 is a wasteful number, since it uses less digits than its factorization.

140572080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17779 (or 17770 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 140572080 is about 11856.3097125539. The cubic root of 140572080 is about 519.9557161499.

The spelling of 140572080 in words is "one hundred forty million, five hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 17749 35498 53247 70996 88745 106494 141992 159741 177490 195239 212988 266235 283984 319482 354980 390478 425976 532470 585717 638964 709960 780956 798705 851952 976195 1064940 1171434 1277928 1419920 1561912 1597410 1757151 1952390 2129880 2342868 2555856 2928585 3123824 3194820 3514302 3904780 4259760 4685736 5857170 6389640 7028604 7809560 8785755 9371472 11714340 12779280 14057208 15619120 17571510 23428680 28114416 35143020 46857360 70286040 140572080