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146418280 = 235171971093
BaseRepresentation
bin10001011101000…
…10101001101000
3101012111211010021
420232202221220
5244440341110
622310130224
73425351311
oct1056425150
9335454107
10146418280
1175716248
1241050974
1324446848
1415635608
15ccc32da
hex8ba2a68

146418280 has 64 divisors (see below), whose sum is σ = 350911440. Its totient is φ = 54792192.

The previous prime is 146418271. The next prime is 146418323. The reversal of 146418280 is 82814641.

It can be written as a sum of positive squares in 8 ways, for example, as 145974724 + 443556 = 12082^2 + 666^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 133414 + ... + 134506.

Almost surely, 2146418280 is an apocalyptic number.

146418280 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 146418280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175455720).

146418280 is an abundant number, since it is smaller than the sum of its proper divisors (204493160).

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

146418280 is a wasteful number, since it uses less digits than its factorization.

146418280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 146418280 is about 12100.3421439230. The cubic root of 146418280 is about 527.0661197161.

The spelling of 146418280 in words is "one hundred forty-six million, four hundred eighteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 197 340 394 680 788 985 1093 1576 1970 2186 3349 3940 4372 5465 6698 7880 8744 10930 13396 16745 18581 21860 26792 33490 37162 43720 66980 74324 92905 133960 148648 185810 215321 371620 430642 743240 861284 1076605 1722568 2153210 3660457 4306420 7320914 8612840 14641828 18302285 29283656 36604570 73209140 146418280