Search a number
-
+
152707840 = 285532251
BaseRepresentation
bin10010001101000…
…10001100000000
3101122100100202221
421012202030000
5303043122330
623053020424
73532665235
oct1106421400
9348310687
10152707840
117922172a
1243184714
132583958c
14163d178c
15d616b7a
hex91a2300

152707840 has 72 divisors (see below), whose sum is σ = 372850128. Its totient is φ = 59904000.

The previous prime is 152707837. The next prime is 152707847. The reversal of 152707840 is 48707251.

It is a happy number.

152707840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 152707796 and 152707805.

It is not an unprimeable number, because it can be changed into a prime (152707847) 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, 66715 + ... + 68965.

It is an arithmetic number, because the mean of its divisors is an integer number (5178474).

Almost surely, 2152707840 is an apocalyptic number.

152707840 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 152707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186425064).

152707840 is an abundant number, since it is smaller than the sum of its proper divisors (220142288).

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

152707840 is an equidigital number, since it uses as much as digits as its factorization.

152707840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 152707840 is about 12357.5013655674. The cubic root of 152707840 is about 534.5074687948.

The spelling of 152707840 in words is "one hundred fifty-two million, seven hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 530 640 848 1060 1280 1696 2120 2251 3392 4240 4502 6784 8480 9004 11255 13568 16960 18008 22510 33920 36016 45020 67840 72032 90040 119303 144064 180080 238606 288128 360160 477212 576256 596515 720320 954424 1193030 1440640 1908848 2386060 2881280 3817696 4772120 7635392 9544240 15270784 19088480 30541568 38176960 76353920 152707840