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140761120 = 2551922437
BaseRepresentation
bin10000110001111…
…01100000100000
3100210212101221211
420120331200200
5242013323440
621544555504
73326310163
oct1030754040
9323771854
10140761120
1172501a05
123b182b94
1323215906
14149a1ada
15c556eea
hex863d820

140761120 has 72 divisors (see below), whose sum is σ = 351115884. Its totient is φ = 53319168.

The previous prime is 140761091. The next prime is 140761129. The reversal of 140761120 is 21167041.

It can be written as a sum of positive squares in 2 ways, for example, as 135210384 + 5550736 = 11628^2 + 2356^2 .

It is a super-3 number, since 3×1407611203 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140761091 and 140761100.

It is not an unprimeable number, because it can be changed into a prime (140761129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56542 + ... + 58978.

Almost surely, 2140761120 is an apocalyptic number.

140761120 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 140761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175557942).

140761120 is an abundant number, since it is smaller than the sum of its proper divisors (210354764).

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

140761120 is a wasteful number, since it uses less digits than its factorization.

140761120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 140761120 is about 11864.2791605727. The cubic root of 140761120 is about 520.1886889199.

The spelling of 140761120 in words is "one hundred forty million, seven hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 361 380 608 722 760 1444 1520 1805 2437 2888 3040 3610 4874 5776 7220 9748 11552 12185 14440 19496 24370 28880 38992 46303 48740 57760 77984 92606 97480 185212 194960 231515 370424 389920 463030 740848 879757 926060 1481696 1759514 1852120 3519028 3704240 4398785 7038056 7408480 8797570 14076112 17595140 28152224 35190280 70380560 140761120