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140312120 = 235132391129
BaseRepresentation
bin10000101110011…
…11111000111000
3100210000121001012
420113033320320
5241404441440
621531213052
73322430144
oct1027177070
9323017035
10140312120
1172225633
123aba7188
13230b9430
14148c6224
15c4b8e65
hex85cfe38

140312120 has 64 divisors (see below), whose sum is σ = 341712000. Its totient is φ = 51545088.

The previous prime is 140312119. The next prime is 140312141. The reversal of 140312120 is 21213041.

It is a junction number, because it is equal to n+sod(n) for n = 140312095 and 140312104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123716 + ... + 124844.

It is an arithmetic number, because the mean of its divisors is an integer number (5339250).

Almost surely, 2140312120 is an apocalyptic number.

140312120 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 140312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170856000).

140312120 is an abundant number, since it is smaller than the sum of its proper divisors (201399880).

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

140312120 is a wasteful number, since it uses less digits than its factorization.

140312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 140312120 is about 11845.3417004323. The cubic root of 140312120 is about 519.6350002687.

Adding to 140312120 its reverse (21213041), we get a palindrome (161525161).

The spelling of 140312120 in words is "one hundred forty million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 239 260 478 520 956 1129 1195 1912 2258 2390 3107 4516 4780 5645 6214 9032 9560 11290 12428 14677 15535 22580 24856 29354 31070 45160 58708 62140 73385 117416 124280 146770 269831 293540 539662 587080 1079324 1349155 2158648 2698310 3507803 5396620 7015606 10793240 14031212 17539015 28062424 35078030 70156060 140312120