Search a number
-
+
151035712 = 2619294283
BaseRepresentation
bin10010000000010…
…01111101000000
3101112012102001021
421000021331000
5302131120322
622553115224
73512532232
oct1100117500
9345172037
10151035712
117828a403
12426b8b14
13253a2459
14160b8252
15d3d64c7
hex9009f40

151035712 has 56 divisors (see below), whose sum is σ = 326440800. Its totient is φ = 69060096.

The previous prime is 151035691. The next prime is 151035713. The reversal of 151035712 is 217530151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151035713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33123 + ... + 37405.

It is an arithmetic number, because the mean of its divisors is an integer number (5829300).

Almost surely, 2151035712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151035712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163220400).

151035712 is an abundant number, since it is smaller than the sum of its proper divisors (175405088).

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

151035712 is a wasteful number, since it uses less digits than its factorization.

151035712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 151035712 is about 12289.6587422109. The cubic root of 151035712 is about 532.5493787738.

Adding to 151035712 its reverse (217530151), we get a palindrome (368565863).

The spelling of 151035712 in words is "one hundred fifty-one million, thirty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 152 232 304 464 551 608 928 1102 1216 1856 2204 4283 4408 8566 8816 17132 17632 34264 35264 68528 81377 124207 137056 162754 248414 274112 325508 496828 651016 993656 1302032 1987312 2359933 2604064 3974624 4719866 5208128 7949248 9439732 18879464 37758928 75517856 151035712