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156434040 = 233257232699
BaseRepresentation
bin10010101001011…
…11111001111000
3101220100200011100
421110233321320
5310021342130
623304531400
73606444630
oct1124577170
9356320140
10156434040
1180337234
1244480b60
1326542629
1416ac16c0
15db00c60
hex952fe78

156434040 has 192 divisors, whose sum is σ = 606528000. Its totient is φ = 34189056.

The previous prime is 156434023. The next prime is 156434041. The reversal of 156434040 is 40434651.

156434040 is a `hidden beast` number, since 15 + 643 + 4 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 156433995 and 156434013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156434041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56611 + ... + 59309.

It is an arithmetic number, because the mean of its divisors is an integer number (3159000).

Almost surely, 2156434040 is an apocalyptic number.

156434040 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 156434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303264000).

156434040 is an abundant number, since it is smaller than the sum of its proper divisors (450093960).

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

156434040 is a wasteful number, since it uses less digits than its factorization.

156434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 156434040 is about 12507.3594335495. The cubic root of 156434040 is about 538.8200573549.

Adding to 156434040 its reverse (40434651), we get a palindrome (196868691).

It can be divided in two parts, 15643 and 4040, that added together give a 9-th power (19683 = 39).

The spelling of 156434040 in words is "one hundred fifty-six million, four hundred thirty-four thousand, forty".