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59141340 = 2235543283
BaseRepresentation
bin1110000110011…
…0110011011100
311010021200200000
43201212303130
5110120010330
65511334300
71315456506
oct341466334
9133250600
1059141340
1130424845
1217981390
13c33919b
147bd6d76
1552d3560
hex3866cdc

59141340 has 144 divisors (see below), whose sum is σ = 191038848. Its totient is φ = 15349824.

The previous prime is 59141339. The next prime is 59141371. The reversal of 59141340 is 4314195.

59141340 is a `hidden beast` number, since 591 + 41 + 34 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 208839 + ... + 209121.

Almost surely, 259141340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95519424).

59141340 is an abundant number, since it is smaller than the sum of its proper divisors (131897508).

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

59141340 is a wasteful number, since it uses less digits than its factorization.

59141340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 59141340 is about 7690.3406946637. The cubic root of 59141340 is about 389.6102615402.

The spelling of 59141340 in words is "fifty-nine million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 243 258 270 283 324 387 405 430 486 516 540 566 645 774 810 849 860 972 1132 1161 1215 1290 1415 1548 1620 1698 1935 2322 2430 2547 2580 2830 3396 3483 3870 4245 4644 4860 5094 5660 5805 6966 7641 7740 8490 10188 10449 11610 12169 12735 13932 15282 16980 17415 20898 22923 23220 24338 25470 30564 34830 36507 38205 41796 45846 48676 50940 52245 60845 68769 69660 73014 76410 91692 104490 109521 114615 121690 137538 146028 152820 182535 208980 219042 229230 243380 275076 328563 343845 365070 438084 458460 547605 657126 687690 730140 985689 1095210 1314252 1375380 1642815 1971378 2190420 2957067 3285630 3942756 4928445 5914134 6571260 9856890 11828268 14785335 19713780 29570670 59141340