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166155480 = 233251034481
BaseRepresentation
bin10011110011101…
…01010011011000
3102120122120110200
421321311103120
5320013433410
624253142200
74055204211
oct1171652330
9376576420
10166155480
1185877087
124778a960
132856746a
14180d2408
15e8c13c0
hex9e754d8

166155480 has 96 divisors (see below), whose sum is σ = 545369760. Its totient is φ = 43868160.

The previous prime is 166155469. The next prime is 166155499. The reversal of 166155480 is 84551661.

166155480 is a `hidden beast` number, since 166 + 15 + 5 + 480 = 666.

166155480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34840 + ... + 39320.

It is an arithmetic number, because the mean of its divisors is an integer number (5680935).

Almost surely, 2166155480 is an apocalyptic number.

166155480 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 166155480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272684880).

166155480 is an abundant number, since it is smaller than the sum of its proper divisors (379214280).

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

166155480 is a wasteful number, since it uses less digits than its factorization.

166155480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 166155480 is about 12890.1311087203. The cubic root of 166155480 is about 549.7579982172.

The spelling of 166155480 in words is "one hundred sixty-six million, one hundred fifty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 103 120 180 206 309 360 412 515 618 824 927 1030 1236 1545 1854 2060 2472 3090 3708 4120 4481 4635 6180 7416 8962 9270 12360 13443 17924 18540 22405 26886 35848 37080 40329 44810 53772 67215 80658 89620 107544 134430 161316 179240 201645 268860 322632 403290 461543 537720 806580 923086 1384629 1613160 1846172 2307715 2769258 3692344 4153887 4615430 5538516 6923145 8307774 9230860 11077032 13846290 16615548 18461720 20769435 27692580 33231096 41538870 55385160 83077740 166155480