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145230600 = 23352534567
BaseRepresentation
bin10001010100000…
…00101100001000
3101010021110221010
420222000230020
5244134334400
622224443520
73412303554
oct1052005410
9333243833
10145230600
1174a84999
12407795a0
132411c088
1415406864
15cb3b450
hex8a80b08

145230600 has 96 divisors (see below), whose sum is σ = 458809920. Its totient is φ = 37989120.

The previous prime is 145230593. The next prime is 145230601. The reversal of 145230600 is 6032541.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (145230601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29517 + ... + 34083.

It is an arithmetic number, because the mean of its divisors is an integer number (4779270).

Almost surely, 2145230600 is an apocalyptic number.

145230600 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 145230600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229404960).

145230600 is an abundant number, since it is smaller than the sum of its proper divisors (313579320).

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

145230600 is a wasteful number, since it uses less digits than its factorization.

145230600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 145230600 is about 12051.1659186985. The cubic root of 145230600 is about 525.6371402856.

The spelling of 145230600 in words is "one hundred forty-five million, two hundred thirty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 150 159 200 212 265 300 318 424 530 600 636 795 1060 1272 1325 1590 2120 2650 3180 3975 4567 5300 6360 7950 9134 10600 13701 15900 18268 22835 27402 31800 36536 45670 54804 68505 91340 109608 114175 137010 182680 228350 242051 274020 342525 456700 484102 548040 685050 726153 913400 968204 1210255 1370100 1452306 1936408 2420510 2740200 2904612 3630765 4841020 5809224 6051275 7261530 9682040 12102550 14523060 18153825 24205100 29046120 36307650 48410200 72615300 145230600