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166157420 = 2251113241109
BaseRepresentation
bin10011110011101…
…01110001101100
3102120122200010112
421321311301230
5320014014140
624253155152
74055212652
oct1171656154
9376580115
10166157420
1185878590
124778bab8
1328568300
14180d2dd2
15e8c1c65
hex9e75c6c

166157420 has 144 divisors (see below), whose sum is σ = 426111840. Its totient is φ = 53913600.

The previous prime is 166157419. The next prime is 166157429. The reversal of 166157420 is 24751661.

166157420 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 (166157429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1524326 + ... + 1524434.

It is an arithmetic number, because the mean of its divisors is an integer number (2959110).

Almost surely, 2166157420 is an apocalyptic number.

166157420 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 166157420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213055920).

166157420 is an abundant number, since it is smaller than the sum of its proper divisors (259954420).

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

166157420 is a wasteful number, since it uses less digits than its factorization.

166157420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 166157420 is about 12890.2063598687. The cubic root of 166157420 is about 549.7601378324.

The spelling of 166157420 in words is "one hundred sixty-six million, one hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 41 44 52 55 65 82 109 110 130 143 164 169 205 218 220 260 286 338 410 436 451 533 545 572 676 715 820 845 902 1066 1090 1199 1417 1430 1690 1804 1859 2132 2180 2255 2398 2665 2834 2860 3380 3718 4469 4510 4796 5330 5668 5863 5995 6929 7085 7436 8938 9020 9295 10660 11726 11990 13858 14170 15587 17876 18421 18590 22345 23452 23980 27716 28340 29315 31174 34645 36842 37180 44690 49159 58097 58630 62348 69290 73684 76219 77935 89380 92105 98318 116194 117260 138580 152438 155870 184210 196636 202631 232388 245795 290485 304876 311740 368420 381095 405262 491590 580970 639067 755261 762190 810524 983180 1013155 1161940 1278134 1510522 1524380 2026310 2556268 3021044 3195335 3776305 4052620 6390670 7552610 8307871 12781340 15105220 16615742 33231484 41539355 83078710 166157420