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148290240 = 2635722067
BaseRepresentation
bin10001101011010…
…11101011000000
3101100000220222010
420311223223000
5300430241430
622414212520
73450306030
oct1065535300
9340026863
10148290240
117678471a
12417b4140
1324950907
14159a18c0
15d042cb0
hex8d6bac0

148290240 has 112 divisors (see below), whose sum is σ = 538106112. Its totient is φ = 33893376.

The previous prime is 148290221. The next prime is 148290251. The reversal of 148290240 is 42092841.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 148290198 and 148290207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4314 + ... + 17753.

Almost surely, 2148290240 is an apocalyptic number.

148290240 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 148290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269053056).

148290240 is an abundant number, since it is smaller than the sum of its proper divisors (389815872).

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

148290240 is a wasteful number, since it uses less digits than its factorization.

148290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22094 (or 22084 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 148290240 is about 12177.4480085115. The cubic root of 148290240 is about 529.3027975005.

The spelling of 148290240 in words is "one hundred forty-eight million, two hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 22067 44134 66201 88268 110335 132402 154469 176536 220670 264804 308938 331005 353072 441340 463407 529608 617876 662010 706144 772345 882680 926814 1059216 1235752 1324020 1412288 1544690 1765360 1853628 2118432 2317035 2471504 2648040 3089380 3530720 3707256 4236864 4634070 4943008 5296080 6178760 7061440 7414512 9268140 9886016 10592160 12357520 14829024 18536280 21184320 24715040 29658048 37072560 49430080 74145120 148290240