Search a number
-
+
152403100 = 225211313487
BaseRepresentation
bin10010001010101…
…11110010011100
3101121202212202021
421011113302130
5303003344400
623042305524
73530255623
oct1105276234
9347685667
10152403100
1179033783
12430582a4
1325760965
14163526ba
15d5a671a
hex9157c9c

152403100 has 36 divisors (see below), whose sum is σ = 333666144. Its totient is φ = 60417280.

The previous prime is 152403067. The next prime is 152403107. The reversal of 152403100 is 1304251.

152403100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1524031002 = 46453409779220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152403107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4557 + ... + 18043.

It is an arithmetic number, because the mean of its divisors is an integer number (9268504).

Almost surely, 2152403100 is an apocalyptic number.

152403100 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 152403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166833072).

152403100 is an abundant number, since it is smaller than the sum of its proper divisors (181263044).

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

152403100 is a wasteful number, since it uses less digits than its factorization.

152403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13614 (or 13607 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 152403100 is about 12345.1650454743. The cubic root of 152403100 is about 534.1516820484.

Adding to 152403100 its reverse (1304251), we get a palindrome (153707351).

The spelling of 152403100 in words is "one hundred fifty-two million, four hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 13487 26974 53948 67435 134870 269740 337175 674350 1348700 1524031 3048062 6096124 7620155 15240310 30480620 38100775 76201550 152403100