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16357140 = 2234523439
BaseRepresentation
bin111110011001…
…011100010100
31010210000210000
4332121130110
513141412030
61342331300
7256014312
oct76313424
933700700
1016357140
1192623a8
125589b30
1335092a7
14225b0b2
151681860
hexf99714

16357140 has 120 divisors (see below), whose sum is σ = 53665920. Its totient is φ = 4162752.

The previous prime is 16357109. The next prime is 16357147. The reversal of 16357140 is 4175361.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16357147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37041 + ... + 37479.

It is an arithmetic number, because the mean of its divisors is an integer number (447216).

Almost surely, 216357140 is an apocalyptic number.

16357140 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 16357140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26832960).

16357140 is an abundant number, since it is smaller than the sum of its proper divisors (37308780).

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

16357140 is a wasteful number, since it uses less digits than its factorization.

16357140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 16357140 is about 4044.3961230325. The cubic root of 16357140 is about 253.8452981535.

The spelling of 16357140 in words is "sixteen million, three hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 439 460 540 621 690 810 828 878 1035 1242 1317 1380 1620 1756 1863 2070 2195 2484 2634 3105 3726 3951 4140 4390 5268 6210 6585 7452 7902 8780 9315 10097 11853 12420 13170 15804 18630 19755 20194 23706 26340 30291 35559 37260 39510 40388 47412 50485 59265 60582 71118 79020 90873 100970 118530 121164 142236 151455 177795 181746 201940 237060 272619 302910 355590 363492 454365 545238 605820 711180 817857 908730 1090476 1363095 1635714 1817460 2726190 3271428 4089285 5452380 8178570 16357140