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152423040 = 27357111031
BaseRepresentation
bin10010001010111…
…00101010000000
3101121210220002210
421011130222000
5303010014130
623042542120
73530401020
oct1105345200
9347726083
10152423040
1179047760
1243067940
1325769a63
1416359a80
15d5ac5b0
hex915ca80

152423040 has 256 divisors, whose sum is σ = 606320640. Its totient is φ = 31641600.

The previous prime is 152423027. The next prime is 152423053. The reversal of 152423040 is 40324251.

152423040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152423027) and next prime (152423053).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 152422998 and 152423016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147325 + ... + 148355.

It is an arithmetic number, because the mean of its divisors is an integer number (2368440).

Almost surely, 2152423040 is an apocalyptic number.

152423040 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 152423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303160320).

152423040 is an abundant number, since it is smaller than the sum of its proper divisors (453897600).

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

152423040 is a wasteful number, since it uses less digits than its factorization.

152423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 152423040 is about 12345.9726226815. The cubic root of 152423040 is about 534.1749766753.

Adding to 152423040 its reverse (40324251), we get a palindrome (192747291).

The spelling of 152423040 in words is "one hundred fifty-two million, four hundred twenty-three thousand, forty".