Search a number
-
+
152423440 = 245131131297
BaseRepresentation
bin10010001010111…
…00110000010000
3101121210220122121
421011130300100
5303010022230
623042544024
73530402131
oct1105346020
9347726577
10152423440
1179047a94
1243068014
1325769cb0
1416359c88
15d5ac77a
hex915cc10

152423440 has 80 divisors (see below), whose sum is σ = 385319088. Its totient is φ = 55738368.

The previous prime is 152423437. The next prime is 152423473. The reversal of 152423440 is 44324251.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7750656 + 144672784 = 2784^2 + 12028^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1524234402 = 46465810122867200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116872 + ... + 118168.

Almost surely, 2152423440 is an apocalyptic number.

152423440 is a gapful number since it is divisible by the number (10) 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 152423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192659544).

152423440 is an abundant number, since it is smaller than the sum of its proper divisors (232895648).

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

152423440 is a wasteful number, since it uses less digits than its factorization.

152423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 152423440 is about 12345.9888222856. The cubic root of 152423440 is about 534.1754439489.

Adding to 152423440 its reverse (44324251), we get a palindrome (196747691).

It can be divided in two parts, 1524 and 23440, that added together give a square (24964 = 1582).

The spelling of 152423440 in words is "one hundred fifty-two million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 113 130 208 226 260 452 520 565 904 1040 1130 1297 1469 1808 2260 2594 2938 4520 5188 5876 6485 7345 9040 10376 11752 12970 14690 16861 20752 23504 25940 29380 33722 51880 58760 67444 84305 103760 117520 134888 146561 168610 269776 293122 337220 586244 674440 732805 1172488 1348880 1465610 1905293 2344976 2931220 3810586 5862440 7621172 9526465 11724880 15242344 19052930 30484688 38105860 76211720 152423440