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189925840 = 245133143137
BaseRepresentation
bin10110101001000…
…00100111010000
3111020101020021101
423110200213100
5342110111330
630502434144
74464225436
oct1324404720
9436336241
10189925840
1198232105
1253732954
133046aa70
141b31cd56
1511a194ca
hexb5209d0

189925840 has 160 divisors (see below), whose sum is σ = 505967616. Its totient is φ = 65802240.

The previous prime is 189925831. The next prime is 189925849. The reversal of 189925840 is 48529981.

It is an interprime number because it is at equal distance from previous prime (189925831) and next prime (189925849).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189925849) 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 31 ways as a sum of consecutive naturals, for example, 1386252 + ... + 1386388.

Almost surely, 2189925840 is an apocalyptic number.

189925840 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 189925840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252983808).

189925840 is an abundant number, since it is smaller than the sum of its proper divisors (316041776).

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

189925840 is a wasteful number, since it uses less digits than its factorization.

189925840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The square root of 189925840 is about 13781.3584236098. The cubic root of 189925840 is about 574.8149019843.

The spelling of 189925840 in words is "one hundred eighty-nine million, nine hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 43 52 62 65 80 86 104 124 130 137 155 172 208 215 248 260 274 310 344 403 430 496 520 548 559 620 685 688 806 860 1040 1096 1118 1240 1333 1370 1612 1720 1781 2015 2192 2236 2480 2666 2740 2795 3224 3440 3562 4030 4247 4472 5332 5480 5590 5891 6448 6665 7124 8060 8494 8905 8944 10664 10960 11180 11782 13330 14248 16120 16988 17329 17810 21235 21328 22360 23564 26660 28496 29455 32240 33976 34658 35620 42470 44720 47128 53320 55211 58910 67952 69316 71240 76583 84940 86645 94256 106640 110422 117820 138632 142480 153166 169880 173290 182621 220844 235640 276055 277264 306332 339760 346580 365242 382915 441688 471280 552110 612664 693160 730484 765830 883376 913105 1104220 1225328 1386320 1460968 1531660 1826210 2208440 2374073 2921936 3063320 3652420 4416880 4748146 6126640 7304840 9496292 11870365 14609680 18992584 23740730 37985168 47481460 94962920 189925840