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146806660 = 225711137333
BaseRepresentation
bin10001100000000…
…01011110000100
3101020020112212201
420300001132010
5300040303120
622322324244
73431556520
oct1060013604
9336215781
10146806660
1175961020
12411b9684
1324551560
14156d6d80
15cd4d40a
hex8c01784

146806660 has 96 divisors (see below), whose sum is σ = 413989632. Its totient is φ = 42232320.

The previous prime is 146806553. The next prime is 146806663. The reversal of 146806660 is 66608641.

146806660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146806663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16354 + ... + 23686.

It is an arithmetic number, because the mean of its divisors is an integer number (4312392).

Almost surely, 2146806660 is an apocalyptic number.

146806660 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 146806660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206994816).

146806660 is an abundant number, since it is smaller than the sum of its proper divisors (267182972).

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

146806660 is a wasteful number, since it uses less digits than its factorization.

146806660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7373 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 146806660 is about 12116.3798223727. The cubic root of 146806660 is about 527.5317291846.

The spelling of 146806660 in words is "one hundred forty-six million, eight hundred six thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 7333 10010 14666 20020 29332 36665 51331 73330 80663 95329 102662 146660 161326 190658 205324 256655 322652 381316 403315 476645 513310 564641 667303 806630 953290 1026620 1048619 1129282 1334606 1613260 1906580 2097238 2258564 2669212 2823205 3336515 4194476 5243095 5646410 6673030 7340333 10486190 11292820 13346060 14680666 20972380 29361332 36701665 73403330 146806660