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146040360 = 23354129683
BaseRepresentation
bin10001011010001…
…10011000101000
3101011210121201020
420231012120220
5244341242420
622254052440
73422215434
oct1055063050
9334717636
10146040360
1175488314
1240aaa120
132434381b
14155779c4
15cc4b340
hex8b46628

146040360 has 64 divisors (see below), whose sum is σ = 448822080. Its totient is φ = 37992960.

The previous prime is 146040347. The next prime is 146040361. The reversal of 146040360 is 63040641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 146040360.

It is not an unprimeable number, because it can be changed into a prime (146040361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9922 + ... + 19761.

It is an arithmetic number, because the mean of its divisors is an integer number (7012845).

Almost surely, 2146040360 is an apocalyptic number.

146040360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146040360 is an abundant number, since it is smaller than the sum of its proper divisors (302781720).

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

146040360 is a wasteful number, since it uses less digits than its factorization.

146040360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29738 (or 29734 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 146040360 is about 12084.7159668732. The cubic root of 146040360 is about 526.6122591520.

The spelling of 146040360 in words is "one hundred forty-six million, forty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 29683 59366 89049 118732 148415 178098 237464 296830 356196 445245 593660 712392 890490 1187320 1217003 1780980 2434006 3561960 3651009 4868012 6085015 7302018 9736024 12170030 14604036 18255045 24340060 29208072 36510090 48680120 73020180 146040360