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189217080 = 233351313477
BaseRepresentation
bin10110100011100…
…11100100111000
3111012001020001000
423101303210320
5341414421310
630435325000
74455214203
oct1321634470
9435036030
10189217080
1197898658
1253450760
1330280290
141b1b693a
15119294c0
hexb473938

189217080 has 128 divisors (see below), whose sum is σ = 679291200. Its totient is φ = 46573056.

The previous prime is 189217079. The next prime is 189217081. The reversal of 189217080 is 80712981.

189217080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189217079) and next prime (189217081).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189217081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7302 + ... + 20778.

Almost surely, 2189217080 is an apocalyptic number.

189217080 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 189217080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339645600).

189217080 is an abundant number, since it is smaller than the sum of its proper divisors (490074120).

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

189217080 is a wasteful number, since it uses less digits than its factorization.

189217080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13510 (or 13500 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 189217080 is about 13755.6199424090. The cubic root of 189217080 is about 574.0989845765.

The spelling of 189217080 in words is "one hundred eighty-nine million, two hundred seventeen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 13477 14040 26954 40431 53908 67385 80862 107816 121293 134770 161724 175201 202155 242586 269540 323448 350402 363879 404310 485172 525603 539080 606465 700804 727758 808620 876005 970344 1051206 1212930 1401608 1455516 1576809 1617240 1752010 1819395 2102412 2425860 2628015 2911032 3153618 3504020 3638790 4204824 4730427 4851720 5256030 6307236 7008040 7277580 7884045 9460854 10512060 12614472 14555160 15768090 18921708 21024120 23652135 31536180 37843416 47304270 63072360 94608540 189217080