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153140000 = 2554131931
BaseRepresentation
bin10010010000010…
…11101100100000
3101200011022120212
421020023230200
5303200440000
623110153252
73536445206
oct1110135440
9350138525
10153140000
1179497392
1243352828
132595b1b0
14164a5076
15d69ec35
hex920bb20

153140000 has 240 divisors, whose sum is σ = 440858880. Its totient is φ = 51840000.

The previous prime is 153139997. The next prime is 153140021. The reversal of 153140000 is 41351.

153140000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1531400003 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4939985 + ... + 4940015.

It is an arithmetic number, because the mean of its divisors is an integer number (1836912).

Almost surely, 2153140000 is an apocalyptic number.

153140000 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 153140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220429440).

153140000 is an abundant number, since it is smaller than the sum of its proper divisors (287718880).

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

153140000 is a wasteful number, since it uses less digits than its factorization.

153140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 153140000 is about 12374.9747474490. The cubic root of 153140000 is about 535.0112088955.

Adding to 153140000 its reverse (41351), we get a palindrome (153181351).

The spelling of 153140000 in words is "one hundred fifty-three million, one hundred forty thousand".