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20130176 = 271117292
BaseRepresentation
bin100110011001…
…0100110000000
31101212201102002
41030302212000
520123131201
61555243132
7333050363
oct114624600
941781362
1020130176
11103aa110
1268a94a8
13422a761
1429600da
151b7976b
hex1332980

20130176 has 96 divisors (see below), whose sum is σ = 47974680. Its totient is φ = 8314880.

The previous prime is 20130169. The next prime is 20130179. The reversal of 20130176 is 67103102.

20130176 = T1088 + T1089 + ... + T1120.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130179) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694130 + ... + 694158.

Almost surely, 220130176 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 20130176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23987340).

20130176 is an abundant number, since it is smaller than the sum of its proper divisors (27844504).

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

20130176 is a wasteful number, since it uses less digits than its factorization.

20130176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 20130176 is about 4486.6664685488. Note that the first 3 decimals coincide. The cubic root of 20130176 is about 272.0294085849.

Adding to 20130176 its reverse (67103102), we get a palindrome (87233278).

The spelling of 20130176 in words is "twenty million, one hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 29 32 34 44 58 64 68 88 116 128 136 176 187 232 272 319 352 374 464 493 544 638 704 748 841 928 986 1088 1276 1408 1496 1682 1856 1972 2176 2552 2992 3364 3712 3944 5104 5423 5984 6728 7888 9251 10208 10846 11968 13456 14297 15776 18502 20416 21692 23936 26912 28594 31552 37004 40832 43384 53824 57188 63104 74008 86768 107648 114376 148016 157267 173536 228752 296032 314534 347072 457504 592064 629068 694144 915008 1184128 1258136 1830016 2516272 5032544 10065088 20130176