Search a number
-
+
207842076 = 2232132319309
BaseRepresentation
bin11000110001101…
…10101100011100
3112111002110201200
430120312230130
5411201421301
632342435500
75102425401
oct1430665434
9474073650
10207842076
11a7359912
1259732b90
13340a18a0
141d8642a8
15133a7c86
hexc636b1c

207842076 has 72 divisors (see below), whose sum is σ = 590422560. Its totient is φ = 61167744.

The previous prime is 207842069. The next prime is 207842077. The reversal of 207842076 is 670248702.

207842076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 207842076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207842077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110 + ... + 20418.

Almost surely, 2207842076 is an apocalyptic number.

207842076 is a gapful number since it is divisible by the number (26) 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 207842076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295211280).

207842076 is an abundant number, since it is smaller than the sum of its proper divisors (382580484).

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

207842076 is a wasteful number, since it uses less digits than its factorization.

207842076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19355 (or 19350 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 207842076 is about 14416.7290326204. The cubic root of 207842076 is about 592.3492240392.

The spelling of 207842076 in words is "two hundred seven million, eight hundred forty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 19309 38618 57927 77236 115854 173781 231708 251017 347562 444107 502034 695124 753051 888214 1004068 1332321 1506102 1776428 2259153 2664642 3012204 3996963 4518306 5329284 5773391 7993926 9036612 11546782 15987852 17320173 23093564 34640346 51960519 69280692 103921038 207842076