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146106870 = 235713109491
BaseRepresentation
bin10001011010101…
…10100111110110
3101011220222221120
420231112213312
5244400404440
622255324410
73422613360
oct1055264766
9334828846
10146106870
1175523288
1240b20706
1324367b90
1415593d30
15cc60dd0
hex8b569f6

146106870 has 128 divisors (see below), whose sum is σ = 436423680. Its totient is φ = 30481920.

The previous prime is 146106859. The next prime is 146106871. The reversal of 146106870 is 78601641.

It is a happy number.

It is a super-2 number, since 2×1461068702 = 42694434922393800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146106871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297325 + ... + 297815.

It is an arithmetic number, because the mean of its divisors is an integer number (3409560).

Almost surely, 2146106870 is an apocalyptic number.

146106870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146106870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218211840).

146106870 is an abundant number, since it is smaller than the sum of its proper divisors (290316810).

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

146106870 is a wasteful number, since it uses less digits than its factorization.

146106870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 146106870 is about 12087.4674766884. The cubic root of 146106870 is about 526.6921906304.

The spelling of 146106870 in words is "one hundred forty-six million, one hundred six thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 109 130 182 195 210 218 273 327 390 455 491 545 546 654 763 910 982 1090 1365 1417 1473 1526 1635 2289 2455 2730 2834 2946 3270 3437 3815 4251 4578 4910 6383 6874 7085 7365 7630 8502 9919 10311 11445 12766 14170 14730 17185 19149 19838 20622 21255 22890 29757 31915 34370 38298 42510 44681 49595 51555 53519 59514 63830 89362 95745 99190 103110 107038 134043 148785 160557 191490 223405 267595 268086 297570 321114 374633 446810 535190 670215 695747 749266 802785 1123899 1340430 1391494 1605570 1873165 2087241 2247798 3478735 3746330 4174482 4870229 5619495 6957470 9740458 10436205 11238990 14610687 20872410 24351145 29221374 48702290 73053435 146106870