Search a number
-
+
29781990 = 23257411153
BaseRepresentation
bin111000110011…
…0111111100110
32002001002012200
41301212333212
530111010430
62542155330
7511066650
oct161467746
962032180
1029781990
11158a1717
129b82b46
1362299a4
143d536d0
152934460
hex1c66fe6

29781990 has 96 divisors (see below), whose sum is σ = 90732096. Its totient is φ = 6635520.

The previous prime is 29781989. The next prime is 29782013. The reversal of 29781990 is 9918792.

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

It is a congruent number.

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, 25254 + ... + 26406.

It is an arithmetic number, because the mean of its divisors is an integer number (945126).

Almost surely, 229781990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29781990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45366048).

29781990 is an abundant number, since it is smaller than the sum of its proper divisors (60950106).

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

29781990 is a wasteful number, since it uses less digits than its factorization.

29781990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 29781990 is about 5457.2877879034. The cubic root of 29781990 is about 309.9687446810.

The spelling of 29781990 in words is "twenty-nine million, seven hundred eighty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 574 615 630 738 861 1153 1230 1435 1722 1845 2306 2583 2870 3459 3690 4305 5166 5765 6918 8071 8610 10377 11530 12915 16142 17295 20754 24213 25830 34590 40355 47273 48426 51885 72639 80710 94546 103770 121065 141819 145278 236365 242130 283638 330911 363195 425457 472730 661822 709095 726390 850914 992733 1418190 1654555 1985466 2127285 2978199 3309110 4254570 4963665 5956398 9927330 14890995 29781990