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189031024 = 247213171091
BaseRepresentation
bin10110100010001…
…10001001110000
3111011200202211001
423101012021300
5341342443044
630431331344
74453510600
oct1321061160
9434622731
10189031024
1197780896
1253380b54
13302166a0
141b168c00
15118de2d4
hexb446270

189031024 has 120 divisors (see below), whose sum is σ = 486250128. Its totient is φ = 70318080.

The previous prime is 189031013. The next prime is 189031081. The reversal of 189031024 is 420130981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 189030983 and 189031001.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 172719 + ... + 173809.

Almost surely, 2189031024 is an apocalyptic number.

189031024 is a gapful number since it is divisible by the number (14) 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 189031024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

189031024 is an abundant number, since it is smaller than the sum of its proper divisors (297219104).

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

189031024 is a wasteful number, since it uses less digits than its factorization.

189031024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 189031024 is about 13748.8553705390. The cubic root of 189031024 is about 573.9107535249.

The spelling of 189031024 in words is "one hundred eighty-nine million, thirty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 49 52 56 68 91 98 104 112 119 136 182 196 208 221 238 272 364 392 442 476 637 728 784 833 884 952 1091 1274 1456 1547 1666 1768 1904 2182 2548 3094 3332 3536 4364 5096 6188 6664 7637 8728 10192 10829 12376 13328 14183 15274 17456 18547 21658 24752 28366 30548 37094 43316 53459 56732 61096 74188 86632 99281 106918 113464 122192 129829 148376 173264 198562 213836 226928 241111 259658 296752 397124 427672 482222 519316 694967 794248 855344 908803 964444 1038632 1389934 1588496 1687777 1817606 1928888 2077264 2779868 3375554 3635212 3857776 5559736 6751108 7270424 11119472 11814439 13502216 14540848 23628878 27004432 47257756 94515512 189031024