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189752940 = 223251383977
BaseRepresentation
bin10110100111101…
…10011001101100
3111020001110002200
423103312121230
5342034043230
630455021500
74462605366
oct1323663154
9436043080
10189752940
1198124213
125366a890
133040a160
141b2b5d36
15119d3160
hexb4f666c

189752940 has 144 divisors (see below), whose sum is σ = 627969888. Its totient is φ = 46098432.

The previous prime is 189752939. The next prime is 189752951. The reversal of 189752940 is 49257981.

189752940 is a `hidden beast` number, since 1 + 89 + 7 + 529 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193732 + ... + 194708.

It is an arithmetic number, because the mean of its divisors is an integer number (4360902).

Almost surely, 2189752940 is an apocalyptic number.

189752940 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 189752940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313984944).

189752940 is an abundant number, since it is smaller than the sum of its proper divisors (438216948).

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

189752940 is a wasteful number, since it uses less digits than its factorization.

189752940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 189752940 is about 13775.0840287818. The cubic root of 189752940 is about 574.6404204243.

The spelling of 189752940 in words is "one hundred eighty-nine million, seven hundred fifty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 83 90 117 130 156 166 180 195 234 249 260 332 390 415 468 498 585 747 780 830 977 996 1079 1170 1245 1494 1660 1954 2158 2340 2490 2931 2988 3237 3735 3908 4316 4885 4980 5395 5862 6474 7470 8793 9711 9770 10790 11724 12701 12948 14655 14940 16185 17586 19422 19540 21580 25402 29310 32370 35172 38103 38844 43965 48555 50804 58620 63505 64740 76206 81091 87930 97110 114309 127010 152412 162182 175860 190515 194220 228618 243273 254020 324364 381030 405455 457236 486546 571545 729819 762060 810910 973092 1054183 1143090 1216365 1459638 1621820 2108366 2286180 2432730 2919276 3162549 3649095 4216732 4865460 5270915 6325098 7298190 9487647 10541830 12650196 14596380 15812745 18975294 21083660 31625490 37950588 47438235 63250980 94876470 189752940