Search a number
-
+
153116106 = 231113237759
BaseRepresentation
bin10010010000001…
…01110111001010
3101200010002210220
421020011313022
5303144203411
623105450510
73536315433
oct1110056712
9350102726
10153116106
1179480440
1243340a36
1325950360
141649a48a
15d697b06
hex9205dca

153116106 has 64 divisors (see below), whose sum is σ = 375459840. Its totient is φ = 40962240.

The previous prime is 153116081. The next prime is 153116111. The reversal of 153116106 is 601611351.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15855 + ... + 23613.

It is an arithmetic number, because the mean of its divisors is an integer number (5866560).

Almost surely, 2153116106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153116106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187729920).

153116106 is an abundant number, since it is smaller than the sum of its proper divisors (222343734).

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

153116106 is a wasteful number, since it uses less digits than its factorization.

153116106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7811.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 153116106 is about 12374.0092936768. The cubic root of 153116106 is about 534.9833820209.

Adding to 153116106 its reverse (601611351), we get a palindrome (754727457).

The spelling of 153116106 in words is "one hundred fifty-three million, one hundred sixteen thousand, one hundred six".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 429 506 598 759 858 897 1518 1794 3289 6578 7759 9867 15518 19734 23277 46554 85349 100867 170698 178457 201734 256047 302601 356914 512094 535371 605202 1070742 1109537 1963027 2219074 2319941 3328611 3926054 4639882 5889081 6657222 6959823 11778162 13919646 25519351 51038702 76558053 153116106