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146363140 = 225711101941
BaseRepresentation
bin10001011100101…
…01001100000100
3101012102000111001
420232111030010
5244432110030
622305023044
73425031460
oct1056251404
9335360431
10146363140
1175688880
1241024a84
1324427711
141561d4a0
15ccb1cca
hex8b95304

146363140 has 96 divisors (see below), whose sum is σ = 387410688. Its totient is φ = 45120000.

The previous prime is 146363117. The next prime is 146363159. The reversal of 146363140 is 41363641.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 146363099 and 146363108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155070 + ... + 156010.

It is an arithmetic number, because the mean of its divisors is an integer number (4035528).

Almost surely, 2146363140 is an apocalyptic number.

146363140 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 146363140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193705344).

146363140 is an abundant number, since it is smaller than the sum of its proper divisors (241047548).

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

146363140 is a wasteful number, since it uses less digits than its factorization.

146363140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 146363140 is about 12098.0634814006. The cubic root of 146363140 is about 526.9999483909. Note that the first 4 decimals are identical.

The spelling of 146363140 in words is "one hundred forty-six million, three hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 941 1010 1111 1414 1540 1882 2020 2222 2828 3535 3764 4444 4705 5555 6587 7070 7777 9410 10351 11110 13174 14140 15554 18820 20702 22220 26348 31108 32935 38885 41404 51755 65870 72457 77770 95041 103510 131740 144914 155540 190082 207020 289828 362285 380164 475205 665287 724570 950410 1045451 1330574 1449140 1900820 2090902 2661148 3326435 4181804 5227255 6652870 7318157 10454510 13305740 14636314 20909020 29272628 36590785 73181570 146363140