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2740387950 = 234525471237
BaseRepresentation
bin1010001101010111…
…0000000001101110
321001222112010120000
42203111300001232
521103014403300
61131532005130
7124623625146
oct24325600156
97058463500
102740387950
111186972033
126459007a6
13348987a41
141bdd47926
151108b1c00
hexa357006e

2740387950 has 120 divisors (see below), whose sum is σ = 7634305272. Its totient is φ = 728844480.

The previous prime is 2740387939. The next prime is 2740387957. The reversal of 2740387950 is 597830472.

It is a super-2 number, since 2×27403879502 = 15019452233010405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2740387896 and 2740387905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2740387957) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2214732 + ... + 2215968.

Almost surely, 22740387950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740387950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817152636).

2740387950 is an abundant number, since it is smaller than the sum of its proper divisors (4893917322).

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

2740387950 is a wasteful number, since it uses less digits than its factorization.

2740387950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2740387950 is about 52348.7148839396. The cubic root of 2740387950 is about 1399.3854360440.

The spelling of 2740387950 in words is "two billion, seven hundred forty million, three hundred eighty-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 547 675 810 1094 1237 1350 1641 2025 2474 2735 3282 3711 4050 4923 5470 6185 7422 8205 9846 11133 12370 13675 14769 16410 18555 22266 24615 27350 29538 30925 33399 37110 41025 44307 49230 55665 61850 66798 73845 82050 88614 92775 100197 111330 123075 147690 166995 185550 200394 221535 246150 278325 333990 369225 443070 500985 556650 676639 738450 834975 1001970 1107675 1353278 1669950 2029917 2215350 2504925 3383195 4059834 5009850 6089751 6766390 10149585 12179502 16915975 18269253 20299170 30448755 33831950 36538506 50747925 54807759 60897510 91346265 101495850 109615518 152243775 182692530 274038795 304487550 456731325 548077590 913462650 1370193975 2740387950