Search a number
-
+
2134533520 = 245731122957
BaseRepresentation
bin111111100111010…
…0110010110010000
312111202111112112001
41333032212112100
513332420033040
6551450243344
7103616143540
oct17716462620
95452445461
102134533520
119a5985699
124b6a26554
132802bc4b2
141636b9320
15c75d959a
hex7f3a6590

2134533520 has 80 divisors (see below), whose sum is σ = 5854768128. Its totient is φ = 708226560.

The previous prime is 2134533509. The next prime is 2134533521. The reversal of 2134533520 is 253354312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2134533521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44119 + ... + 78838.

Almost surely, 22134533520 is an apocalyptic number.

2134533520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134533520 is an abundant number, since it is smaller than the sum of its proper divisors (3720234608).

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

2134533520 is a wasteful number, since it uses less digits than its factorization.

2134533520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123008 (or 123002 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 2134533520 is about 46201.0121101259. The cubic root of 2134533520 is about 1287.5605441099.

Adding to 2134533520 its reverse (253354312), we get a palindrome (2387887832).

The spelling of 2134533520 in words is "two billion, one hundred thirty-four million, five hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 17360 122957 245914 491828 614785 860699 983656 1229570 1721398 1967312 2459140 3442796 3811667 4303495 4918280 6885592 7623334 8606990 9836560 13771184 15246668 17213980 19058335 26681669 30493336 34427960 38116670 53363338 60986672 68855920 76233340 106726676 133408345 152466680 213453352 266816690 304933360 426906704 533633380 1067266760 2134533520