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59038140 = 22357243467
BaseRepresentation
bin1110000100110…
…1100110111100
311010002110002210
43201031212330
5110103210030
65505220420
71314546600
oct341154674
9133073083
1059038140
1130364257
1217931710
13c301215
147bab500
1552b2bb0
hex384d9bc

59038140 has 144 divisors (see below), whose sum is σ = 197188992. Its totient is φ = 13152384.

The previous prime is 59038139. The next prime is 59038159. The reversal of 59038140 is 4183095.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 59038098 and 59038107.

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, 126187 + ... + 126653.

It is an arithmetic number, because the mean of its divisors is an integer number (1369368).

Almost surely, 259038140 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 59038140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98594496).

59038140 is an abundant number, since it is smaller than the sum of its proper divisors (138150852).

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

59038140 is a wasteful number, since it uses less digits than its factorization.

59038140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 59038140 is about 7683.6280493007. The cubic root of 59038140 is about 389.3835098927.

The spelling of 59038140 in words is "fifty-nine million, thirty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 49 60 70 84 86 98 105 129 140 147 172 196 210 215 245 258 294 301 420 430 467 490 516 588 602 645 735 860 903 934 980 1204 1290 1401 1470 1505 1806 1868 2107 2335 2580 2802 2940 3010 3269 3612 4214 4515 4670 5604 6020 6321 6538 7005 8428 9030 9340 9807 10535 12642 13076 14010 16345 18060 19614 20081 21070 22883 25284 28020 31605 32690 39228 40162 42140 45766 49035 60243 63210 65380 68649 80324 91532 98070 100405 114415 120486 126420 137298 140567 196140 200810 228830 240972 274596 281134 301215 343245 401620 421701 457660 562268 602430 686490 702835 843402 983969 1204860 1372980 1405670 1686804 1967938 2108505 2811340 2951907 3935876 4217010 4919845 5903814 8434020 9839690 11807628 14759535 19679380 29519070 59038140