Search a number
-
+
214760240 = 2455350651
BaseRepresentation
bin11001100110011…
…11101100110000
3112222002221122222
430303033230300
5414434311430
633151020212
75215301102
oct1463175460
9488087588
10214760240
11100254602
125bb0a668
1335654786
1420745572
1513cc29e5
hexcccfb30

214760240 has 40 divisors (see below), whose sum is σ = 508748688. Its totient is φ = 84281600.

The previous prime is 214760237. The next prime is 214760257. The reversal of 214760240 is 42067412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2147602402 = 92243921369715200, which contains 22 as substring.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21086 + ... + 29565.

Almost surely, 2214760240 is an apocalyptic number.

214760240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214760240 is an abundant number, since it is smaller than the sum of its proper divisors (293988448).

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

214760240 is a wasteful number, since it uses less digits than its factorization.

214760240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50717 (or 50711 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 214760240 is about 14654.7002698793. The cubic root of 214760240 is about 598.8498708209.

The spelling of 214760240 in words is "two hundred fourteen million, seven hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 50651 101302 202604 253255 405208 506510 810416 1013020 2026040 2684503 4052080 5369006 10738012 13422515 21476024 26845030 42952048 53690060 107380120 214760240