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296380 = 22572973
BaseRepresentation
bin1001000010110111100
3120001120001
41020112330
533441010
610204044
72343040
oct1102674
9501501
10296380
11192747
12123624
13a4b96
147a020
155cc3a
hex485bc

296380 has 48 divisors (see below), whose sum is σ = 745920. Its totient is φ = 96768.

The previous prime is 296377. The next prime is 296437. The reversal of 296380 is 83692.

It is a super-2 number, since 2×2963802 = 175682208800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4024 + ... + 4096.

It is an arithmetic number, because the mean of its divisors is an integer number (15540).

2296380 is an apocalyptic number.

296380 is a gapful number since it is divisible by the number (20) 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 296380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372960).

296380 is an abundant number, since it is smaller than the sum of its proper divisors (449540).

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

296380 is a wasteful number, since it uses less digits than its factorization.

296380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 296380 is about 544.4079352838. The cubic root of 296380 is about 66.6729438534.

296380 divided by its sum of digits (28) gives a triangular number (10585 = T145).

It can be divided in two parts, 296 and 380, that added together give a palindrome (676).

The spelling of 296380 in words is "two hundred ninety-six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 73 116 140 145 146 203 290 292 365 406 511 580 730 812 1015 1022 1460 2030 2044 2117 2555 4060 4234 5110 8468 10220 10585 14819 21170 29638 42340 59276 74095 148190 296380