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189290660 = 225134991459
BaseRepresentation
bin10110100100001…
…01100010100100
3111012011221222012
423102011202210
5341424300120
630441053352
74455641546
oct1322054244
9435157865
10189290660
1197938969
1253487258
13302a7910
141b1d5696
15119411c5
hexb4858a4

189290660 has 48 divisors (see below), whose sum is σ = 429240000. Its totient is φ = 69704064.

The previous prime is 189290657. The next prime is 189290663. The reversal of 189290660 is 66092981.

It is an interprime number because it is at equal distance from previous prime (189290657) and next prime (189290663).

It is not an unprimeable number, because it can be changed into a prime (189290663) 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, 129011 + ... + 130469.

It is an arithmetic number, because the mean of its divisors is an integer number (8942500).

Almost surely, 2189290660 is an apocalyptic number.

189290660 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 189290660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214620000).

189290660 is an abundant number, since it is smaller than the sum of its proper divisors (239949340).

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

189290660 is a wasteful number, since it uses less digits than its factorization.

189290660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 189290660 is about 13758.2942256662. The cubic root of 189290660 is about 574.1733907012.

The spelling of 189290660 in words is "one hundred eighty-nine million, two hundred ninety thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 499 998 1459 1996 2495 2918 4990 5836 6487 7295 9980 12974 14590 18967 25948 29180 32435 37934 64870 75868 94835 129740 189670 379340 728041 1456082 2912164 3640205 7280410 9464533 14560820 18929066 37858132 47322665 94645330 189290660