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145442160 = 24325792557
BaseRepresentation
bin10001010101101…
…00010101110000
3101010200020010200
420222310111300
5244213122120
622233155200
73414144423
oct1052642560
9333606120
10145442160
1175109936
124085bb00
1324194466
141545d9ba
15cb7de90
hex8ab4570

145442160 has 120 divisors (see below), whose sum is σ = 494819520. Its totient is φ = 38278656.

The previous prime is 145442149. The next prime is 145442189. The reversal of 145442160 is 61244541.

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, 55602 + ... + 58158.

It is an arithmetic number, because the mean of its divisors is an integer number (4123496).

Almost surely, 2145442160 is an apocalyptic number.

145442160 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 145442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247409760).

145442160 is an abundant number, since it is smaller than the sum of its proper divisors (349377360).

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

145442160 is a wasteful number, since it uses less digits than its factorization.

145442160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145442160 is about 12059.9402983597. The cubic root of 145442160 is about 525.8922514434.

The spelling of 145442160 in words is "one hundred forty-five million, four hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2370 2557 2844 3160 3555 3792 4740 5114 5688 6320 7110 7671 9480 10228 11376 12785 14220 15342 18960 20456 23013 25570 28440 30684 38355 40912 46026 51140 56880 61368 76710 92052 102280 115065 122736 153420 184104 202003 204560 230130 306840 368208 404006 460260 606009 613680 808012 920520 1010015 1212018 1616024 1818027 1841040 2020030 2424036 3030045 3232048 3636054 4040060 4848072 6060090 7272108 8080120 9090135 9696144 12120180 14544216 16160240 18180270 24240360 29088432 36360540 48480720 72721080 145442160