Search a number
-
+
235417036540 = 225741107383303
BaseRepresentation
bin1101101100111111110…
…0101110011011111100
3211111122121200120000111
43123033330232123330
512324113230132130
6300052112035404
723002565536210
oct3331774563374
9744577616014
10235417036540
1190926863a34
1239760832b64
1319279a6aa2a
14b573b48940
1561cc93102a
hex36cff2e6fc

235417036540 has 96 divisors (see below), whose sum is σ = 584192093184. Its totient is φ = 78009623040.

The previous prime is 235417036501. The next prime is 235417036559. The reversal of 235417036540 is 45630714532.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 235417036493 and 235417036502.

It is a congruent number.

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, 422529 + ... + 805831.

It is an arithmetic number, because the mean of its divisors is an integer number (6085334304).

Almost surely, 2235417036540 is an apocalyptic number.

235417036540 is a gapful number since it is divisible by the number (20) 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 235417036540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292096046592).

235417036540 is an abundant number, since it is smaller than the sum of its proper divisors (348775056644).

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

235417036540 is a wasteful number, since it uses less digits than its factorization.

235417036540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383467 (or 383465 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 235417036540 in words is "two hundred thirty-five billion, four hundred seventeen million, thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 107 140 164 205 214 287 410 428 535 574 749 820 1070 1148 1435 1498 2140 2870 2996 3745 4387 5740 7490 8774 14980 17548 21935 30709 43870 61418 87740 122836 153545 307090 383303 614180 766606 1533212 1916515 2683121 3833030 5366242 7666060 10732484 13415605 15715423 26831210 31430846 41013421 53662420 62861692 78577115 82026842 110007961 157154230 164053684 205067105 220015922 287093947 314308460 410134210 440031844 550039805 574187894 820268420 1100079610 1148375788 1435469735 1681550261 2200159220 2870939470 3363100522 5741878940 6726201044 8407751305 11770851827 16815502610 23541703654 33631005220 47083407308 58854259135 117708518270 235417036540