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140160920 = 235173161109
BaseRepresentation
bin10000101101010…
…10111110011000
3100202201220122012
420112222332120
5241340122140
621524045052
73321230264
oct1026527630
9322656565
10140160920
1172131a79
123ab33788
1323065673
14148870a4
15c489265
hex85aaf98

140160920 has 128 divisors (see below), whose sum is σ = 353548800. Its totient is φ = 49766400.

The previous prime is 140160901. The next prime is 140160941. The reversal of 140160920 is 29061041.

It is a happy number.

140160920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1285826 + ... + 1285934.

It is an arithmetic number, because the mean of its divisors is an integer number (2762100).

Almost surely, 2140160920 is an apocalyptic number.

140160920 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 140160920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

140160920 is an abundant number, since it is smaller than the sum of its proper divisors (213387880).

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

140160920 is a wasteful number, since it uses less digits than its factorization.

140160920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 140160920 is about 11838.9577243945. The cubic root of 140160920 is about 519.4482807113.

The spelling of 140160920 in words is "one hundred forty million, one hundred sixty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 61 62 68 85 109 122 124 136 155 170 218 244 248 305 310 340 436 488 527 545 610 620 680 872 1037 1054 1090 1220 1240 1853 1891 2074 2108 2180 2440 2635 3379 3706 3782 4148 4216 4360 5185 5270 6649 6758 7412 7564 8296 9265 9455 10370 10540 13298 13516 14824 15128 16895 18530 18910 20740 21080 26596 27032 32147 33245 33790 37060 37820 41480 53192 57443 64294 66490 67580 74120 75640 113033 114886 128588 132980 135160 160735 206119 226066 229772 257176 265960 287215 321470 412238 452132 459544 565165 574430 642940 824476 904264 1030595 1130330 1148860 1285880 1648952 2061190 2260660 2297720 3504023 4122380 4521320 7008046 8244760 14016092 17520115 28032184 35040230 70080460 140160920