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140220288 = 2733133121
BaseRepresentation
bin10000101101110…
…01011110000000
3100202211221002000
420112321132000
5241344022123
621525224000
73321565335
oct1026713600
9322757060
10140220288
117217263a
123ab62000
13230866b0
14148a098c
15c49bb43
hex85b9780

140220288 has 128 divisors (see below), whose sum is σ = 445821600. Its totient is φ = 43130880.

The previous prime is 140220263. The next prime is 140220293. The reversal of 140220288 is 882022041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 43368 + ... + 46488.

Almost surely, 2140220288 is an apocalyptic number.

140220288 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 140220288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222910800).

140220288 is an abundant number, since it is smaller than the sum of its proper divisors (305601312).

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

140220288 is a wasteful number, since it uses less digits than its factorization.

140220288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 140220288 is about 11841.4647742583. The cubic root of 140220288 is about 519.5216113098.

The spelling of 140220288 in words is "one hundred forty million, two hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3121 3456 3744 4992 5616 6242 7488 9363 11232 12484 14976 18726 22464 24968 28089 37452 40573 44928 49936 56178 74904 81146 84267 99872 112356 121719 149808 162292 168534 199744 224712 243438 299616 324584 337068 365157 399488 449424 486876 599232 649168 674136 730314 898848 973752 1095471 1198464 1298336 1348272 1460628 1797696 1947504 2190942 2596672 2696544 2921256 3595392 3895008 4381884 5193344 5393088 5842512 7790016 8763768 10786176 11685024 15580032 17527536 23370048 35055072 46740096 70110144 140220288