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147027840 = 2735731049
BaseRepresentation
bin10001100001101…
…11011110000000
3101020122210021120
420300313132000
5300114342330
622331152240
73433500411
oct1060673600
9336583246
10147027840
1175aa2213
12412a5680
13245cb12b
1415753808
15cd93c10
hex8c37780

147027840 has 128 divisors (see below), whose sum is σ = 475524000. Its totient is φ = 38633472.

The previous prime is 147027809. The next prime is 147027857. The reversal of 147027840 is 48720741.

147027840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 139636 + ... + 140684.

Almost surely, 2147027840 is an apocalyptic number.

147027840 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 147027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237762000).

147027840 is an abundant number, since it is smaller than the sum of its proper divisors (328496160).

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

147027840 is a wasteful number, since it uses less digits than its factorization.

147027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 147027840 is about 12125.5037008777. The cubic root of 147027840 is about 527.7965239838.

The spelling of 147027840 in words is "one hundred forty-seven million, twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 292 320 365 384 438 480 584 640 730 876 960 1049 1095 1168 1460 1752 1920 2098 2190 2336 2920 3147 3504 4196 4380 4672 5245 5840 6294 7008 8392 8760 9344 10490 11680 12588 14016 15735 16784 17520 20980 23360 25176 28032 31470 33568 35040 41960 46720 50352 62940 67136 70080 76577 83920 100704 125880 134272 140160 153154 167840 201408 229731 251760 306308 335680 382885 402816 459462 503520 612616 671360 765770 918924 1007040 1148655 1225232 1531540 1837848 2014080 2297310 2450464 3063080 3675696 4594620 4900928 6126160 7351392 9189240 9801856 12252320 14702784 18378480 24504640 29405568 36756960 49009280 73513920 147027840