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140130120 = 233513432089
BaseRepresentation
bin10000101101000…
…11011101001000
3100202200100101110
420112203131020
5241333130440
621523250320
73321041424
oct1026433510
9322610343
10140130120
1172110919
123ab199a0
1323054640
1414879b84
15c480080
hex85a3748

140130120 has 128 divisors (see below), whose sum is σ = 463478400. Its totient is φ = 33675264.

The previous prime is 140130119. The next prime is 140130139. The reversal of 140130120 is 21031041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 140130096 and 140130105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66036 + ... + 68124.

It is an arithmetic number, because the mean of its divisors is an integer number (3620925).

Almost surely, 2140130120 is an apocalyptic number.

140130120 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 140130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231739200).

140130120 is an abundant number, since it is smaller than the sum of its proper divisors (323348280).

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

140130120 is a wasteful number, since it uses less digits than its factorization.

140130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 140130120 is about 11837.6568627410. The cubic root of 140130120 is about 519.4102287848.

Adding to 140130120 its reverse (21031041), we get a palindrome (161161161).

The spelling of 140130120 in words is "one hundred forty million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 312 344 390 430 516 520 559 645 780 860 1032 1118 1290 1560 1677 1720 2089 2236 2580 2795 3354 4178 4472 5160 5590 6267 6708 8356 8385 10445 11180 12534 13416 16712 16770 20890 22360 25068 27157 31335 33540 41780 50136 54314 62670 67080 81471 83560 89827 108628 125340 135785 162942 179654 217256 250680 269481 271570 325884 359308 407355 449135 538962 543140 651768 718616 814710 898270 1077924 1086280 1167751 1347405 1629420 1796540 2155848 2335502 2694810 3258840 3503253 3593080 4671004 5389620 5838755 7006506 9342008 10779240 11677510 14013012 17516265 23355020 28026024 35032530 46710040 70065060 140130120