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145650000 = 24355971
BaseRepresentation
bin10001010111001…
…11000101010000
3101011001210020110
420223213011100
5244241300000
622241441320
73416001366
oct1053470520
9334053213
10145650000
1175241001
1240940240
1324237c42
14154b5636
15cbc0850
hex8ae7150

145650000 has 120 divisors (see below), whose sum is σ = 470782368. Its totient is φ = 38800000.

The previous prime is 145649993. The next prime is 145650031. The reversal of 145650000 is 56541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149515 + ... + 150485.

Almost surely, 2145650000 is an apocalyptic number.

145650000 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 145650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235391184).

145650000 is an abundant number, since it is smaller than the sum of its proper divisors (325132368).

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

145650000 is an frugal number, since it uses more digits than its factorization.

145650000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 145650000 is about 12068.5541801825. The cubic root of 145650000 is about 526.1426360227.

The spelling of 145650000 in words is "one hundred forty-five million, six hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 971 1000 1200 1250 1500 1875 1942 2000 2500 2913 3000 3125 3750 3884 4855 5000 5826 6000 6250 7500 7768 9375 9710 10000 11652 12500 14565 15000 15536 18750 19420 23304 24275 25000 29130 30000 37500 38840 46608 48550 50000 58260 72825 75000 77680 97100 116520 121375 145650 150000 194200 233040 242750 291300 364125 388400 485500 582600 606875 728250 971000 1165200 1213750 1456500 1820625 1942000 2427500 2913000 3034375 3641250 4855000 5826000 6068750 7282500 9103125 9710000 12137500 14565000 18206250 24275000 29130000 36412500 48550000 72825000 145650000