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2031506340 = 223583503811
BaseRepresentation
bin111100100010110…
…0101001110100100
312020120122012210120
41321011211032210
513130031200330
6533330121540
7101225343003
oct17105451644
95216565716
102031506340
11952806866
124884202b0
13264b58b76
14153b3ac3a
15bd537c10
hex791653a4

2031506340 has 96 divisors (see below), whose sum is σ = 5775307776. Its totient is φ = 533485440.

The previous prime is 2031506339. The next prime is 2031506381. The reversal of 2031506340 is 436051302.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2031506340.

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, 2504535 + ... + 2505345.

It is an arithmetic number, because the mean of its divisors is an integer number (60159456).

Almost surely, 22031506340 is an apocalyptic number.

2031506340 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 2031506340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887653888).

2031506340 is an abundant number, since it is smaller than the sum of its proper divisors (3743801436).

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

2031506340 is a wasteful number, since it uses less digits than its factorization.

2031506340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2031506340 is about 45072.2346905498. The cubic root of 2031506340 is about 1266.5025270536.

Adding to 2031506340 its reverse (436051302), we get a palindrome (2467557642).

The spelling of 2031506340 in words is "two billion, thirty-one million, five hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 503 811 830 996 1006 1245 1509 1622 1660 2012 2433 2490 2515 3018 3244 4055 4866 4980 5030 6036 7545 8110 9732 10060 12165 15090 16220 24330 30180 41749 48660 67313 83498 125247 134626 166996 201939 208745 250494 269252 336565 403878 407933 417490 500988 626235 673130 807756 815866 834980 1009695 1223799 1252470 1346260 1631732 2019390 2039665 2447598 2504940 4038780 4079330 4895196 6118995 8158660 12237990 24475980 33858439 67716878 101575317 135433756 169292195 203150634 338584390 406301268 507876585 677168780 1015753170 2031506340