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146746240 = 2751671373
BaseRepresentation
bin10001011111100…
…10101110000000
3101020010110222221
420233302232000
5300031334430
622321140424
73431215414
oct1057625600
9336113887
10146746240
117591a693
124118a714
132452cbc4
14156bcd44
15cd3a57a
hex8bf2b80

146746240 has 64 divisors (see below), whose sum is σ = 353172960. Its totient is φ = 58304512.

The previous prime is 146746217. The next prime is 146746247. The reversal of 146746240 is 42647641.

146746240 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 146746196 and 146746205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146746247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 106194 + ... + 107566.

Almost surely, 2146746240 is an apocalyptic number.

146746240 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 146746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176586480).

146746240 is an abundant number, since it is smaller than the sum of its proper divisors (206426720).

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

146746240 is a wasteful number, since it uses less digits than its factorization.

146746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 146746240 is about 12113.8862467831. The cubic root of 146746240 is about 527.4593486339.

The spelling of 146746240 in words is "one hundred forty-six million, seven hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 320 334 640 668 835 1336 1373 1670 2672 2746 3340 5344 5492 6680 6865 10688 10984 13360 13730 21376 21968 26720 27460 43936 53440 54920 87872 106880 109840 175744 219680 229291 439360 458582 878720 917164 1146455 1834328 2292910 3668656 4585820 7337312 9171640 14674624 18343280 29349248 36686560 73373120 146746240