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196428640 = 2553313709
BaseRepresentation
bin10111011010101…
…00001101100000
3111200121121102211
423231110031200
5400241204030
631254051504
74603421152
oct1355241540
9450547384
10196428640
11a0973821
1255949b94
1331906885
141c132ad2
15123a112a
hexbb54360

196428640 has 48 divisors (see below), whose sum is σ = 465590160. Its totient is φ = 78312960.

The previous prime is 196428613. The next prime is 196428649. The reversal of 196428640 is 46824691.

It is a super-2 number, since 2×1964286402 = 77168421224499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 196428593 and 196428602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196428649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51106 + ... + 54814.

It is an arithmetic number, because the mean of its divisors is an integer number (9699795).

Almost surely, 2196428640 is an apocalyptic number.

196428640 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 196428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232795080).

196428640 is an abundant number, since it is smaller than the sum of its proper divisors (269161520).

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

196428640 is a wasteful number, since it uses less digits than its factorization.

196428640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 196428640 is about 14015.3002108410. The cubic root of 196428640 is about 581.3017136708.

It can be divided in two parts, 19642 and 8640, that added together give a palindrome (28282).

The spelling of 196428640 in words is "one hundred ninety-six million, four hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 331 662 1324 1655 2648 3310 3709 5296 6620 7418 10592 13240 14836 18545 26480 29672 37090 52960 59344 74180 118688 148360 296720 593440 1227679 2455358 4910716 6138395 9821432 12276790 19642864 24553580 39285728 49107160 98214320 196428640