Search a number
-
+
168490332 = 2232173183107
BaseRepresentation
bin10100000101011…
…11010101011100
3102202001012021200
422002233111130
5321113142312
624415155500
74114100313
oct1202572534
9382035250
10168490332
118712130a
1248515b90
1328ba412a
141853d27a
15ebd30dc
hexa0af55c

168490332 has 144 divisors (see below), whose sum is σ = 475517952. Its totient is φ = 50065920.

The previous prime is 168490307. The next prime is 168490337. The reversal of 168490332 is 233094861.

168490332 is a `hidden beast` number, since 168 + 490 + 3 + 3 + 2 = 666.

168490332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168490337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1574623 + ... + 1574729.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208).

Almost surely, 2168490332 is an apocalyptic number.

168490332 is a gapful number since it is divisible by the number (12) 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 168490332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

168490332 is an abundant number, since it is smaller than the sum of its proper divisors (307027620).

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

168490332 is a wasteful number, since it uses less digits than its factorization.

168490332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 168490332 is about 12980.3825829596. The cubic root of 168490332 is about 552.3211348146.

The spelling of 168490332 in words is "one hundred sixty-eight million, four hundred ninety thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 83 93 102 107 124 153 166 186 204 214 249 279 306 321 332 372 428 498 527 558 612 642 747 963 996 1054 1116 1284 1411 1494 1581 1819 1926 2108 2573 2822 2988 3162 3317 3638 3852 4233 4743 5146 5457 5644 6324 6634 7276 7719 8466 8881 9486 9951 10292 10914 12699 13268 15438 16371 16932 17762 18972 19902 21828 23157 25398 26643 29853 30876 32742 35524 39804 43741 46314 50796 53286 56389 59706 65484 79929 87482 92628 106572 112778 119412 131223 150977 159858 169167 174964 225556 262446 275311 301954 319716 338334 393669 452931 507501 524892 550622 603908 676668 787338 825933 905862 1015002 1101244 1358793 1574676 1651866 1811724 2030004 2477799 2717586 3303732 4680287 4955598 5435172 9360574 9911196 14040861 18721148 28081722 42122583 56163444 84245166 168490332