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164531780 = 22571773947
BaseRepresentation
bin10011100111010…
…00111001000100
3102110121002011122
421303220321010
5314110004110
624154253112
74035332330
oct1163507104
9373532148
10164531780
1184968186
1247127198
13281193aa
1417bcc7c0
15e6a0255
hex9ce8e44

164531780 has 96 divisors (see below), whose sum is σ = 424279296. Its totient is φ = 52310016.

The previous prime is 164531771. The next prime is 164531789. The reversal of 164531780 is 87135461.

It is an interprime number because it is at equal distance from previous prime (164531771) and next prime (164531789).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 164531780.

It is not an unprimeable number, because it can be changed into a prime (164531789) 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 31 ways as a sum of consecutive naturals, for example, 173267 + ... + 174213.

It is an arithmetic number, because the mean of its divisors is an integer number (4419576).

Almost surely, 2164531780 is an apocalyptic number.

164531780 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 164531780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212139648).

164531780 is an abundant number, since it is smaller than the sum of its proper divisors (259747516).

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

164531780 is a wasteful number, since it uses less digits than its factorization.

164531780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 164531780 is about 12826.9941919376. The cubic root of 164531780 is about 547.9613564311.

The spelling of 164531780 in words is "one hundred sixty-four million, five hundred thirty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 73 85 119 140 146 170 238 292 340 365 476 511 595 730 947 1022 1190 1241 1460 1894 2044 2380 2482 2555 3788 4735 4964 5110 6205 6629 8687 9470 10220 12410 13258 16099 17374 18940 24820 26516 32198 33145 34748 43435 64396 66290 69131 80495 86870 112693 132580 138262 160990 173740 225386 276524 321980 345655 450772 483917 563465 691310 967834 1126930 1175227 1382620 1935668 2253860 2350454 2419585 4700908 4839170 5876135 8226589 9678340 11752270 16453178 23504540 32906356 41132945 82265890 164531780