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153041900 = 2252113732
BaseRepresentation
bin10010001111100…
…11101111101100
3101122222100000112
421013303233230
5303134320100
623104115152
73535556204
oct1107635754
9348870015
10153041900
117942a710
1243305ab8
132592564b
141647b404
15d680b35
hex91f3bec

153041900 has 54 divisors (see below), whose sum is σ = 363265812. Its totient is φ = 55502400.

The previous prime is 153041897. The next prime is 153041927. The reversal of 153041900 is 9140351.

It is a happy number.

153041900 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-2 number, since 2×1530419002 = 46843646311220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 410114 + ... + 410486.

Almost surely, 2153041900 is an apocalyptic number.

153041900 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 153041900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181632906).

153041900 is an abundant number, since it is smaller than the sum of its proper divisors (210223912).

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

153041900 is a wasteful number, since it uses less digits than its factorization.

153041900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 153041900 is about 12371.0104680256. The cubic root of 153041900 is about 534.8969434943.

The spelling of 153041900 in words is "one hundred fifty-three million, forty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 373 550 746 1100 1492 1865 3730 4103 7460 8206 9325 16412 18650 20515 37300 41030 82060 102575 139129 205150 278258 410300 556516 695645 1391290 1530419 2782580 3060838 3478225 6121676 6956450 7652095 13912900 15304190 30608380 38260475 76520950 153041900