Search a number
-
+
166344620 = 2251319151223
BaseRepresentation
bin10011110101000…
…11011110101100
3102121000011220212
421322203132230
5320041011440
624301201552
74056622511
oct1172433654
9377004825
10166344620
11859961a2
12478602b8
1328602590
1418141308
15e90c465
hex9ea37ac

166344620 has 96 divisors (see below), whose sum is σ = 400404480. Its totient is φ = 57542400.

The previous prime is 166344599. The next prime is 166344623. The reversal of 166344620 is 26443661.

166344620 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 (166344623) 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, 745829 + ... + 746051.

It is an arithmetic number, because the mean of its divisors is an integer number (4170880).

Almost surely, 2166344620 is an apocalyptic number.

166344620 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 166344620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200202240).

166344620 is an abundant number, since it is smaller than the sum of its proper divisors (234059860).

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

166344620 is a wasteful number, since it uses less digits than its factorization.

166344620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 166344620 is about 12897.4656425206. The cubic root of 166344620 is about 549.9665213782.

The spelling of 166344620 in words is "one hundred sixty-six million, three hundred forty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 151 190 223 247 260 302 380 446 494 604 755 892 988 1115 1235 1510 1963 2230 2470 2869 2899 3020 3926 4237 4460 4940 5738 5798 7852 8474 9815 11476 11596 14345 14495 16948 19630 21185 28690 28990 33673 37297 39260 42370 55081 57380 57980 67346 74594 84740 110162 134692 149188 168365 186485 220324 275405 336730 372970 437749 550810 639787 673460 745940 875498 1101620 1279574 1750996 2188745 2559148 3198935 4377490 6397870 8317231 8754980 12795740 16634462 33268924 41586155 83172310 166344620