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140103288 = 23321343592
BaseRepresentation
bin10000101100111…
…00111001111000
3100202121222120200
420112130321320
5241331301123
621522522200
73320600253
oct1026347170
9322558520
10140103288
11720a2746
123ab06360
1323045370
141487009a
15c477143
hex859ce78

140103288 has 144 divisors (see below), whose sum is σ = 425344920. Its totient is φ = 41392512.

The previous prime is 140103251. The next prime is 140103319. The reversal of 140103288 is 882301041.

140103288 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 35 ways as a sum of consecutive naturals, for example, 2374603 + ... + 2374661.

Almost surely, 2140103288 is an apocalyptic number.

140103288 is a gapful number since it is divisible by the number (18) 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 140103288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212672460).

140103288 is an abundant number, since it is smaller than the sum of its proper divisors (285241632).

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

140103288 is a wasteful number, since it uses less digits than its factorization.

140103288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 140103288 is about 11836.5234760887. The cubic root of 140103288 is about 519.3770745876.

The spelling of 140103288 in words is "one hundred forty million, one hundred three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 59 72 78 86 104 117 118 129 156 172 177 234 236 258 312 344 354 387 468 472 516 531 559 708 767 774 936 1032 1062 1118 1416 1534 1548 1677 2124 2236 2301 2537 3068 3096 3354 3481 4248 4472 4602 5031 5074 6136 6708 6903 6962 7611 9204 10062 10148 10443 13416 13806 13924 15222 18408 20124 20296 20886 22833 27612 27848 30444 31329 32981 40248 41772 45253 45666 55224 60888 62658 65962 83544 90506 91332 98943 125316 131924 135759 149683 181012 182664 197886 250632 263848 271518 296829 299366 362024 395772 407277 449049 543036 593658 598732 791544 814554 898098 1086072 1187316 1197464 1347147 1629108 1796196 1945879 2374632 2694294 3258216 3592392 3891758 5388588 5837637 7783516 10777176 11675274 15567032 17512911 23350548 35025822 46701096 70051644 140103288