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145450920 = 23358913619
BaseRepresentation
bin10001010101101…
…10011110101000
3101010200200011010
420222312132220
5244213412140
622233303520
73414212106
oct1052663650
9333620133
10145450920
117511547a
1240864ba0
1324198444
1415462c76
15cb81880
hex8ab67a8

145450920 has 64 divisors (see below), whose sum is σ = 441288000. Its totient is φ = 38348288.

The previous prime is 145450889. The next prime is 145450937. The reversal of 145450920 is 29054541.

145450920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3871 + ... + 17489.

It is an arithmetic number, because the mean of its divisors is an integer number (6895125).

Almost surely, 2145450920 is an apocalyptic number.

145450920 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 145450920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220644000).

145450920 is an abundant number, since it is smaller than the sum of its proper divisors (295837080).

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

145450920 is a wasteful number, since it uses less digits than its factorization.

145450920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13722 (or 13718 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 145450920 is about 12060.3034787687. The cubic root of 145450920 is about 525.9028094174.

The spelling of 145450920 in words is "one hundred forty-five million, four hundred fifty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5340 10680 13619 27238 40857 54476 68095 81714 108952 136190 163428 204285 272380 326856 408570 544760 817140 1212091 1634280 2424182 3636273 4848364 6060455 7272546 9696728 12120910 14545092 18181365 24241820 29090184 36362730 48483640 72725460 145450920