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152016100 = 22521997639
BaseRepresentation
bin10010000111110…
…01010011100100
3101121001012212221
421003321103210
5302404003400
623030122124
73524054425
oct1103712344
9347035787
10152016100
1178899a45
1242ab0344
1325656772
141629164c
15d52bc1a
hex90f94e4

152016100 has 36 divisors (see below), whose sum is σ = 331576000. Its totient is φ = 60492960.

The previous prime is 152016089. The next prime is 152016101. The reversal of 152016100 is 1610251.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (152016101) 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 11 ways as a sum of consecutive naturals, for example, 16081 + ... + 23719.

Almost surely, 2152016100 is an apocalyptic number.

152016100 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 152016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165788000).

152016100 is an abundant number, since it is smaller than the sum of its proper divisors (179559900).

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

152016100 is a wasteful number, since it uses less digits than its factorization.

152016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7852 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 152016100 is about 12329.4809298689. The cubic root of 152016100 is about 533.6991717399.

Adding to 152016100 its reverse (1610251), we get a palindrome (153626351).

The spelling of 152016100 in words is "one hundred fifty-two million, sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 398 796 995 1990 3980 4975 7639 9950 15278 19900 30556 38195 76390 152780 190975 381950 763900 1520161 3040322 6080644 7600805 15201610 30403220 38004025 76008050 152016100