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145988590 = 251119233037
BaseRepresentation
bin10001011001110…
…01101111101110
3101011200222200211
420230321233232
5244333113330
622253013034
73421611466
oct1054715756
9334628624
10145988590
1175452430
1240a8417a
13243260a7
1415562ba6
15cc3ad2a
hex8b39bee

145988590 has 64 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 48090240.

The previous prime is 145988587. The next prime is 145988599. The reversal of 145988590 is 95889541.

145988590 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145988599) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 46552 + ... + 49588.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2145988590 is an apocalyptic number.

145988590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145988590 is an abundant number, since it is smaller than the sum of its proper divisors (168991250).

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

145988590 is a wasteful number, since it uses less digits than its factorization.

145988590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097.

The product of its (nonzero) digits is 518400, while the sum is 49.

The square root of 145988590 is about 12082.5738152101. The cubic root of 145988590 is about 526.5500253541.

The spelling of 145988590 in words is "one hundred forty-five million, nine hundred eighty-eight thousand, five hundred ninety".

Divisors: 1 2 5 10 11 19 22 23 38 46 55 95 110 115 190 209 230 253 418 437 506 874 1045 1265 2090 2185 2530 3037 4370 4807 6074 9614 15185 24035 30370 33407 48070 57703 66814 69851 115406 139702 167035 288515 334070 349255 577030 634733 698510 768361 1269466 1327169 1536722 2654338 3173665 3841805 6347330 6635845 7683610 13271690 14598859 29197718 72994295 145988590