Search a number
-
+
153842400 = 25325223929
BaseRepresentation
bin10010010101101…
…11001011100000
3101201111000002200
421022313023200
5303340424100
623133213200
73545432055
oct1112671340
9351430080
10153842400
1179927088
1243631200
1325b45b0a
141660902c
15d78ce00
hex92b72e0

153842400 has 216 divisors, whose sum is σ = 566682480. Its totient is φ = 39198720.

The previous prime is 153842389. The next prime is 153842407. The reversal of 153842400 is 4248351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153842407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165136 + ... + 166064.

It is an arithmetic number, because the mean of its divisors is an integer number (2623530).

Almost surely, 2153842400 is an apocalyptic number.

153842400 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 153842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283341240).

153842400 is an abundant number, since it is smaller than the sum of its proper divisors (412840080).

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

153842400 is a wasteful number, since it uses less digits than its factorization.

153842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 153842400 is about 12403.3221356216. The cubic root of 153842400 is about 535.8279316991.

The spelling of 153842400 in words is "one hundred fifty-three million, eight hundred forty-two thousand, four hundred".