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196600480 = 2551378969
BaseRepresentation
bin10111011011111…
…10001010100000
3111200221100011021
423231332022200
5400312203410
631301455224
74605035146
oct1355761240
9450840137
10196600480
11a0a8093a
1255a11514
1331966b5b
141c179596
15123d6eda
hexbb7e2a0

196600480 has 48 divisors (see below), whose sum is σ = 467911080. Its totient is φ = 78057472.

The previous prime is 196600471. The next prime is 196600489. The reversal of 196600480 is 84006691.

It is an interprime number because it is at equal distance from previous prime (196600471) and next prime (196600489).

It can be written as a sum of positive squares in 4 ways, for example, as 165997456 + 30603024 = 12884^2 + 5532^2 .

It is not an unprimeable number, because it can be changed into a prime (196600489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17436 + ... + 26404.

Almost surely, 2196600480 is an apocalyptic number.

196600480 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 196600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233955540).

196600480 is an abundant number, since it is smaller than the sum of its proper divisors (271310600).

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

196600480 is a wasteful number, since it uses less digits than its factorization.

196600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9121 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 196600480 is about 14021.4293137326. The cubic root of 196600480 is about 581.4711760121.

The spelling of 196600480 in words is "one hundred ninety-six million, six hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 8969 10960 17938 21920 35876 44845 71752 89690 143504 179380 287008 358760 717520 1228753 1435040 2457506 4915012 6143765 9830024 12287530 19660048 24575060 39320096 49150120 98300240 196600480