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189398640 = 24354311831
BaseRepresentation
bin10110100100111…
…11111001110000
3111012101110002110
423102133321300
5341441224030
630443245320
74456601424
oct1322377160
9435343073
10189398640
1197a02002
1253519840
1330314b02
141b222b84
15119631b0
hexb49fe70

189398640 has 80 divisors (see below), whose sum is σ = 588819456. Its totient is φ = 50361600.

The previous prime is 189398603. The next prime is 189398653. The reversal of 189398640 is 46893981.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 189398640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102525 + ... + 104355.

Almost surely, 2189398640 is an apocalyptic number.

189398640 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 189398640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294409728).

189398640 is an abundant number, since it is smaller than the sum of its proper divisors (399420816).

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

189398640 is a wasteful number, since it uses less digits than its factorization.

189398640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 189398640 is about 13762.2178445191. The cubic root of 189398640 is about 574.2825481514.

The spelling of 189398640 in words is "one hundred eighty-nine million, three hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 431 862 1293 1724 1831 2155 2586 3448 3662 4310 5172 5493 6465 6896 7324 8620 9155 10344 10986 12930 14648 17240 18310 20688 21972 25860 27465 29296 34480 36620 43944 51720 54930 73240 87888 103440 109860 146480 219720 439440 789161 1578322 2367483 3156644 3945805 4734966 6313288 7891610 9469932 11837415 12626576 15783220 18939864 23674830 31566440 37879728 47349660 63132880 94699320 189398640