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207752142 = 231331151569
BaseRepresentation
bin11000110001000…
…00101111001110
3112110220220100210
430120200233032
5411141032032
632340503250
75101602243
oct1430405716
9473826323
10207752142
11a72a8294
12596aab26
133406c980
141d83d5ca
151338b2cc
hexc620bce

207752142 has 64 divisors (see below), whose sum is σ = 465776640. Its totient is φ = 61344000.

The previous prime is 207752141. The next prime is 207752161. The reversal of 207752142 is 241257702.

207752142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207752141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364834 + ... + 365402.

It is an arithmetic number, because the mean of its divisors is an integer number (7277760).

Almost surely, 2207752142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207752142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232888320).

207752142 is an abundant number, since it is smaller than the sum of its proper divisors (258024498).

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

207752142 is a wasteful number, since it uses less digits than its factorization.

207752142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769.

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 207752142 is about 14413.6096103648. The cubic root of 207752142 is about 592.2637745131.

The spelling of 207752142 in words is "two hundred seven million, seven hundred fifty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 151 186 302 403 453 569 806 906 1138 1209 1707 1963 2418 3414 3926 4681 5889 7397 9362 11778 14043 14794 17639 22191 28086 35278 44382 52917 60853 85919 105834 121706 171838 182559 229307 257757 365118 458614 515514 687921 1116947 1375842 2233894 2663489 3350841 5326978 6701682 7990467 15980934 34625357 69250714 103876071 207752142