Search a number
-
+
57090132840 = 233513101362339
BaseRepresentation
bin110101001010110101…
…100100101101101000
312110100201011020102110
4311022311210231220
51413410033222330
642120555402320
74060514056656
oct651265445550
9173321136373
1057090132840
1122236989874
12b0934533a0
1354ca9431c0
142a9822ddd6
151742064db0
hexd4ad64b68

57090132840 has 128 divisors (see below), whose sum is σ = 186271747200. Its totient is φ = 13913779200.

The previous prime is 57090132823. The next prime is 57090132851. The reversal of 57090132840 is 4823109075.

57090132840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23610 + ... + 338729.

It is an arithmetic number, because the mean of its divisors is an integer number (1455248025).

Almost surely, 257090132840 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 57090132840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93135873600).

57090132840 is an abundant number, since it is smaller than the sum of its proper divisors (129181614360).

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

57090132840 is a wasteful number, since it uses less digits than its factorization.

57090132840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362467 (or 362463 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 57090132840 in words is "fifty-seven billion, ninety million, one hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 101 104 120 130 156 195 202 260 303 312 390 404 505 520 606 780 808 1010 1212 1313 1515 1560 2020 2424 2626 3030 3939 4040 5252 6060 6565 7878 10504 12120 13130 15756 19695 26260 31512 39390 52520 78780 157560 362339 724678 1087017 1449356 1811695 2174034 2898712 3623390 4348068 4710407 5435085 7246780 8696136 9420814 10870170 14131221 14493560 18841628 21740340 23552035 28262442 36596239 37683256 43480680 47104070 56524884 70656105 73192478 94208140 109788717 113049768 141312210 146384956 182981195 188416280 219577434 282624420 292769912 365962390 439154868 475751107 548943585 565248840 731924780 878309736 951502214 1097887170 1427253321 1463849560 1903004428 2195774340 2378755535 2854506642 3806008856 4391548680 4757511070 5709013284 7136266605 9515022140 11418026568 14272533210 19030044280 28545066420 57090132840