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189899440 = 2456771499
BaseRepresentation
bin10110101000110…
…10001010110000
3111020022220001121
423110122022300
5342103240230
630502112024
74464055453
oct1324321260
9436286047
10189899440
1198214295
125371b614
133045ba43
141b31349a
1511a1177a
hexb51a2b0

189899440 has 80 divisors (see below), whose sum is σ = 455328000. Its totient is φ = 73624320.

The previous prime is 189899407. The next prime is 189899447. The reversal of 189899440 is 44998981.

It is a happy number.

189899440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (189899447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380311 + ... + 380809.

It is an arithmetic number, because the mean of its divisors is an integer number (5691600).

Almost surely, 2189899440 is an apocalyptic number.

189899440 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 189899440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227664000).

189899440 is an abundant number, since it is smaller than the sum of its proper divisors (265428560).

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

189899440 is a wasteful number, since it uses less digits than its factorization.

189899440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The square root of 189899440 is about 13780.4005747293. The cubic root of 189899440 is about 574.7882673487.

The spelling of 189899440 in words is "one hundred eighty-nine million, eight hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 71 80 134 142 268 284 335 355 499 536 568 670 710 998 1072 1136 1340 1420 1996 2495 2680 2840 3992 4757 4990 5360 5680 7984 9514 9980 19028 19960 23785 33433 35429 38056 39920 47570 66866 70858 76112 95140 133732 141716 167165 177145 190280 267464 283432 334330 354290 380560 534928 566864 668660 708580 1337320 1417160 2373743 2674640 2834320 4747486 9494972 11868715 18989944 23737430 37979888 47474860 94949720 189899440