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145163280 = 24355691063
BaseRepresentation
bin10001010011100…
…00010000010000
3101010011001120210
420221300100100
5244130211110
622223204120
73411603363
oct1051602020
9333131523
10145163280
1174a39359
1240746640
13240c7542
14153ca0da
15cb26520
hex8a70410

145163280 has 80 divisors (see below), whose sum is σ = 451221120. Its totient is φ = 38605824.

The previous prime is 145163279. The next prime is 145163309. The reversal of 145163280 is 82361541.

It is a tau number, because it is divible by the number of its divisors (80).

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, 136029 + ... + 137091.

It is an arithmetic number, because the mean of its divisors is an integer number (5640264).

Almost surely, 2145163280 is an apocalyptic number.

145163280 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 145163280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225610560).

145163280 is an abundant number, since it is smaller than the sum of its proper divisors (306057840).

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

145163280 is a wasteful number, since it uses less digits than its factorization.

145163280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 145163280 is about 12048.3725042016. The cubic root of 145163280 is about 525.5559100185. Note that the first 3 decimals are identical.

The spelling of 145163280 in words is "one hundred forty-five million, one hundred sixty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 569 1063 1138 1707 2126 2276 2845 3189 3414 4252 4552 5315 5690 6378 6828 8504 8535 9104 10630 11380 12756 13656 15945 17008 17070 21260 22760 25512 27312 31890 34140 42520 45520 51024 63780 68280 85040 127560 136560 255120 604847 1209694 1814541 2419388 3024235 3629082 4838776 6048470 7258164 9072705 9677552 12096940 14516328 18145410 24193880 29032656 36290820 48387760 72581640 145163280