Search a number
-
+
1023540150 = 23524723089
BaseRepresentation
bin111101000000011…
…111101110110110
32122022222020010110
4331000133232312
54044011241100
6245322003450
734235643033
oct7500375666
92568866113
101023540150
11485841956
12246946586
1313408ca79
1499d1838a
155ecd1250
hex3d01fbb6

1023540150 has 72 divisors (see below), whose sum is σ = 2594376360. Its totient is φ = 267050240.

The previous prime is 1023540143. The next prime is 1023540151. The reversal of 1023540150 is 510453201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023540151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 329806 + ... + 332894.

It is an arithmetic number, because the mean of its divisors is an integer number (36033005).

Almost surely, 21023540150 is an apocalyptic number.

1023540150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023540150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297188180).

1023540150 is an abundant number, since it is smaller than the sum of its proper divisors (1570836210).

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

1023540150 is a wasteful number, since it uses less digits than its factorization.

1023540150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1023540150 is about 31992.8140369052. The cubic root of 1023540150 is about 1007.7859384983.

Adding to 1023540150 its reverse (510453201), we get a palindrome (1533993351).

The spelling of 1023540150 in words is "one billion, twenty-three million, five hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2209 2350 3089 3525 4418 6178 6627 7050 9267 11045 13254 15445 18534 22090 30890 33135 46335 55225 66270 77225 92670 110450 145183 154450 165675 231675 290366 331350 435549 463350 725915 871098 1451830 2177745 3629575 4355490 6823601 7259150 10888725 13647202 20470803 21777450 34118005 40941606 68236010 102354015 170590025 204708030 341180050 511770075 1023540150