Search a number
-
+
2741952240 = 243253808267
BaseRepresentation
bin1010001101101110…
…1101111011110000
321002002110121100200
42203123231323300
521103414432430
61132025315200
7124643131566
oct24333557360
97062417320
102741952240
111187840335
12646335b00
133490b4a61
141c0233a36
15110ac0460
hexa36edef0

2741952240 has 60 divisors (see below), whose sum is σ = 9208392024. Its totient is φ = 731187072.

The previous prime is 2741952221. The next prime is 2741952271. The reversal of 2741952240 is 422591472.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2741952195 and 2741952204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1903414 + ... + 1904853.

Almost surely, 22741952240 is an apocalyptic number.

2741952240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2741952240 is an abundant number, since it is smaller than the sum of its proper divisors (6466439784).

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

2741952240 is a wasteful number, since it uses less digits than its factorization.

2741952240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808286 (or 3808277 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2741952240 is about 52363.6538068153. The cubic root of 2741952240 is about 1399.6516548292.

The spelling of 2741952240 in words is "two billion, seven hundred forty-one million, nine hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3808267 7616534 11424801 15233068 19041335 22849602 30466136 34274403 38082670 45699204 57124005 60932272 68548806 76165340 91398408 114248010 137097612 152330680 171372015 182796816 228496020 274195224 304661360 342744030 456992040 548390448 685488060 913984080 1370976120 2741952240