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189416070 = 23852887
BaseRepresentation
bin10110100101001…
…00001010000110
3111012102100000000
423102210022012
5341442303240
630443502130
74460003304
oct1322441206
9435370000
10189416070
1197a14108
1253527946
133031ca1c
141b229274
1511968430
hexb4a4286

189416070 has 72 divisors (see below), whose sum is σ = 511574544. Its totient is φ = 50493456.

The previous prime is 189416069. The next prime is 189416077. The reversal of 189416070 is 70614981.

189416070 is a `hidden beast` number, since 1 + 8 + 9 + 41 + 607 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189416077) 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 35 ways as a sum of consecutive naturals, for example, 64167 + ... + 67053.

It is an arithmetic number, because the mean of its divisors is an integer number (7105202).

Almost surely, 2189416070 is an apocalyptic number.

189416070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189416070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255787272).

189416070 is an abundant number, since it is smaller than the sum of its proper divisors (322158474).

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

189416070 is an frugal number, since it uses more digits than its factorization.

189416070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 189416070 is about 13762.8510854401. The cubic root of 189416070 is about 574.3001643247.

The spelling of 189416070 in words is "one hundred eighty-nine million, four hundred sixteen thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2187 2430 2887 3645 4374 5774 6561 7290 8661 10935 13122 14435 17322 21870 25983 28870 32805 43305 51966 65610 77949 86610 129915 155898 233847 259830 389745 467694 701541 779490 1169235 1403082 2104623 2338470 3507705 4209246 6313869 7015410 10523115 12627738 18941607 21046230 31569345 37883214 63138690 94708035 189416070