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145694160 = 24335371823
BaseRepresentation
bin10001010111100…
…01110111010000
3101011011000211000
420223301313100
5244244203120
622242422000
73416244213
oct1053616720
9334130730
10145694160
11752711a7
1240961900
1324252081
14154c777a
15cbcd990
hex8af1dd0

145694160 has 160 divisors (see below), whose sum is σ = 515681280. Its totient is φ = 37780992.

The previous prime is 145694149. The next prime is 145694179. The reversal of 145694160 is 61496541.

145694160 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79009 + ... + 80831.

It is an arithmetic number, because the mean of its divisors is an integer number (3223008).

Almost surely, 2145694160 is an apocalyptic number.

145694160 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 145694160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257840640).

145694160 is an abundant number, since it is smaller than the sum of its proper divisors (369987120).

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

145694160 is a wasteful number, since it uses less digits than its factorization.

145694160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 145694160 is about 12070.3835895965. The cubic root of 145694160 is about 526.1958048315.

The spelling of 145694160 in words is "one hundred forty-five million, six hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 90 108 111 120 135 144 148 180 185 216 222 240 270 296 333 360 370 432 444 540 555 592 666 720 740 888 999 1080 1110 1332 1480 1665 1776 1823 1998 2160 2220 2664 2960 3330 3646 3996 4440 4995 5328 5469 6660 7292 7992 8880 9115 9990 10938 13320 14584 15984 16407 18230 19980 21876 26640 27345 29168 32814 36460 39960 43752 49221 54690 65628 67451 72920 79920 82035 87504 98442 109380 131256 134902 145840 164070 196884 202353 218760 246105 262512 269804 328140 337255 393768 404706 437520 492210 539608 607059 656280 674510 787536 809412 984420 1011765 1079216 1214118 1312560 1349020 1618824 1821177 1968840 2023530 2428236 2698040 3035295 3237648 3642354 3937680 4047060 4856472 5396080 6070590 7284708 8094120 9105885 9712944 12141180 14569416 16188240 18211770 24282360 29138832 36423540 48564720 72847080 145694160