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2140545540 = 2235713737201
BaseRepresentation
bin111111110010110…
…0010001000000100
312112011210222110110
41333211202020010
513340434424130
6552223153020
7104021223360
oct17745421004
95464728413
102140545540
119a9311601
124b8a45770
13281615ac3
141644022a0
15c7dc5ab0
hex7f962204

2140545540 has 96 divisors (see below), whose sum is σ = 6899929344. Its totient is φ = 485683200.

The previous prime is 2140545523. The next prime is 2140545541. The reversal of 2140545540 is 455450412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2140545498 and 2140545507.

It is not an unprimeable number, because it can be changed into a prime (2140545541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38940 + ... + 76140.

It is an arithmetic number, because the mean of its divisors is an integer number (71874264).

Almost surely, 22140545540 is an apocalyptic number.

2140545540 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 2140545540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449964672).

2140545540 is an abundant number, since it is smaller than the sum of its proper divisors (4759383804).

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

2140545540 is a wasteful number, since it uses less digits than its factorization.

2140545540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37357 (or 37355 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 2140545540 is about 46266.0300868791. The cubic root of 2140545540 is about 1288.7682371153.

Adding to 2140545540 its reverse (455450412), we get a palindrome (2595995952).

The spelling of 2140545540 in words is "two billion, one hundred forty million, five hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 137 140 210 274 411 420 548 685 822 959 1370 1644 1918 2055 2740 2877 3836 4110 4795 5754 8220 9590 11508 14385 19180 28770 37201 57540 74402 111603 148804 186005 223206 260407 372010 446412 520814 558015 744020 781221 1041628 1116030 1302035 1562442 2232060 2604070 3124884 3906105 5096537 5208140 7812210 10193074 15289611 15624420 20386148 25482685 30579222 35675759 50965370 61158444 71351518 76448055 101930740 107027277 142703036 152896110 178378795 214054554 305792220 356757590 428109108 535136385 713515180 1070272770 2140545540