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145763500 = 2253401727
BaseRepresentation
bin10001011000000…
…10110010101100
3101011021112221011
420230002302230
5244303413000
622244115004
73416653321
oct1054026254
9334245834
10145763500
1175309303
1240995a64
13242777bc
1415504b48
15cbe42ba
hex8b02cac

145763500 has 48 divisors (see below), whose sum is σ = 319580352. Its totient is φ = 58080000.

The previous prime is 145763477. The next prime is 145763533. The reversal of 145763500 is 5367541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200137 + ... + 200863.

It is an arithmetic number, because the mean of its divisors is an integer number (6657924).

Almost surely, 2145763500 is an apocalyptic number.

145763500 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 145763500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159790176).

145763500 is an abundant number, since it is smaller than the sum of its proper divisors (173816852).

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

145763500 is a wasteful number, since it uses less digits than its factorization.

145763500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 145763500 is about 12073.2555675758. The cubic root of 145763500 is about 526.2792687817.

The spelling of 145763500 in words is "one hundred forty-five million, seven hundred sixty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 401 500 727 802 1454 1604 2005 2908 3635 4010 7270 8020 10025 14540 18175 20050 36350 40100 50125 72700 90875 100250 181750 200500 291527 363500 583054 1166108 1457635 2915270 5830540 7288175 14576350 29152700 36440875 72881750 145763500