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161257140 = 2232511233541
BaseRepresentation
bin10011001110010…
…01011010110100
3102020102201012200
421213021122310
5312240212030
624000144500
73665443302
oct1147113264
9366381180
10161257140
1183030970
1246008130
1327540a35
14175b9272
15e254d60
hex99c96b4

161257140 has 144 divisors (see below), whose sum is σ = 556972416. Its totient is φ = 37382400.

The previous prime is 161257127. The next prime is 161257147. The reversal of 161257140 is 41752161.

It is a happy number.

161257140 is a `hidden beast` number, since 1 + 612 + 5 + 7 + 1 + 40 = 666.

161257140 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 not an unprimeable number, because it can be changed into a prime (161257147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43770 + ... + 47310.

It is an arithmetic number, because the mean of its divisors is an integer number (3867864).

Almost surely, 2161257140 is an apocalyptic number.

161257140 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 161257140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278486208).

161257140 is an abundant number, since it is smaller than the sum of its proper divisors (395715276).

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

161257140 is a wasteful number, since it uses less digits than its factorization.

161257140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 161257140 is about 12698.7062333137. The cubic root of 161257140 is about 544.3016502129.

The spelling of 161257140 in words is "one hundred sixty-one million, two hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3541 3795 4140 4554 5060 7082 7590 9108 10623 11385 14164 15180 17705 21246 22770 31869 35410 38951 42492 45540 53115 63738 70820 77902 81443 106230 116853 127476 155804 159345 162886 194755 212460 233706 244329 318690 325772 350559 389510 407215 467412 488658 584265 637380 701118 732987 779020 814430 895873 977316 1168530 1221645 1402236 1465974 1628860 1752795 1791746 2337060 2443290 2687619 2931948 3505590 3583492 3664935 4479365 4886580 5375238 7011180 7329870 8062857 8958730 10750476 13438095 14659740 16125714 17917460 26876190 32251428 40314285 53752380 80628570 161257140