Search a number
-
+
235026907140 = 223523337505369
BaseRepresentation
bin1101101011100010110…
…0100000000000000100
3211110122102120221002110
43122320230200000010
512322313342012030
6255545254141020
722660120514544
oct3327054400004
9743572527073
10235026907140
119074661aa43
1239672051770
1319216ca412c
14b537dd3324
1561a856c1b0
hex36b8b20004

235026907140 has 96 divisors (see below), whose sum is σ = 688726321920. Its totient is φ = 59770884096.

The previous prime is 235026907109. The next prime is 235026907147. The reversal of 235026907140 is 41709620532.

It is not an unprimeable number, because it can be changed into a prime (235026907147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212376 + ... + 717744.

It is an arithmetic number, because the mean of its divisors is an integer number (7174232520).

Almost surely, 2235026907140 is an apocalyptic number.

235026907140 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 235026907140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344363160960).

235026907140 is an abundant number, since it is smaller than the sum of its proper divisors (453699414780).

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

235026907140 is a wasteful number, since it uses less digits than its factorization.

235026907140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505741 (or 505739 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 235026907140 in words is "two hundred thirty-five billion, twenty-six million, nine hundred seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 337 345 460 674 690 1011 1348 1380 1685 2022 3370 4044 5055 6740 7751 10110 15502 20220 23253 31004 38755 46506 77510 93012 116265 155020 232530 465060 505369 1010738 1516107 2021476 2526845 3032214 5053690 6064428 7580535 10107380 11623487 15161070 23246974 30322140 34870461 46493948 58117435 69740922 116234870 139481844 170309353 174352305 232469740 340618706 348704610 510928059 681237412 697409220 851546765 1021856118 1703093530 2043712236 2554640295 3406187060 3917115119 5109280590 7834230238 10218561180 11751345357 15668460476 19585575595 23502690714 39171151190 47005381428 58756726785 78342302380 117513453570 235026907140