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214542040 = 23517267277
BaseRepresentation
bin11001100100110…
…10011011011000
3112221200212100111
430302122123120
5414410321130
633142214104
75213401666
oct1462323330
9487625314
10214542040
11100115679
125ba24334
13355a936b
14206c9c36
1513c7d02a
hexcc9a6d8

214542040 has 96 divisors (see below), whose sum is σ = 522317520. Its totient is φ = 79276032.

The previous prime is 214542037. The next prime is 214542077. The reversal of 214542040 is 40245412.

It is a happy number.

214542040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774382 + ... + 774658.

Almost surely, 2214542040 is an apocalyptic number.

214542040 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 214542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261158760).

214542040 is an abundant number, since it is smaller than the sum of its proper divisors (307775480).

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

214542040 is a wasteful number, since it uses less digits than its factorization.

214542040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 214542040 is about 14647.2536674969. The cubic root of 214542040 is about 598.6469882625.

Adding to 214542040 its reverse (40245412), we get a palindrome (254787452).

The spelling of 214542040 in words is "two hundred fourteen million, five hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 268 277 289 335 340 536 554 578 670 680 1108 1139 1156 1340 1385 1445 2216 2278 2312 2680 2770 2890 4556 4709 5540 5695 5780 9112 9418 11080 11390 11560 18559 18836 19363 22780 23545 37118 37672 38726 45560 47090 74236 77452 80053 92795 94180 96815 148472 154904 160106 185590 188360 193630 315503 320212 371180 387260 400265 631006 640424 742360 774520 800530 1262012 1577515 1601060 2524024 3155030 3202120 5363551 6310060 10727102 12620120 21454204 26817755 42908408 53635510 107271020 214542040