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166044032 = 2771117991
BaseRepresentation
bin10011110010110…
…10000110000000
3102120102220120222
421321122012000
5320001402112
624250522212
74054231250
oct1171320600
9376386528
10166044032
1185800380
1247736368
132852880b
14180a3960
15e89d372
hex9e5a180

166044032 has 128 divisors (see below), whose sum is σ = 437114880. Its totient is φ = 60825600.

The previous prime is 166044031. The next prime is 166044041. The reversal of 166044032 is 230440661.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 166043992 and 166044010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166044031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167057 + ... + 168047.

It is an arithmetic number, because the mean of its divisors is an integer number (3414960).

Almost surely, 2166044032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218557440).

166044032 is an abundant number, since it is smaller than the sum of its proper divisors (271070848).

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

166044032 is a wasteful number, since it uses less digits than its factorization.

166044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 166044032 is about 12885.8073864233. The cubic root of 166044032 is about 549.6350548688.

Adding to 166044032 its reverse (230440661), we get a palindrome (396484693).

The spelling of 166044032 in words is "one hundred sixty-six million, forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 154 176 187 224 238 272 308 352 374 448 476 544 616 704 748 896 952 991 1088 1232 1309 1408 1496 1904 1982 2176 2464 2618 2992 3808 3964 4928 5236 5984 6937 7616 7928 9856 10472 10901 11968 13874 15232 15856 16847 20944 21802 23936 27748 31712 33694 41888 43604 55496 63424 67388 76307 83776 87208 110992 117929 126848 134776 152614 167552 174416 185317 221984 235858 269552 305228 348832 370634 443968 471716 539104 610456 697664 741268 887936 943432 1078208 1220912 1297219 1395328 1482536 1886864 2156416 2441824 2594438 2965072 3773728 4883648 5188876 5930144 7547456 9767296 10377752 11860288 15094912 20755504 23720576 41511008 83022016 166044032