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196430400 = 2633524547
BaseRepresentation
bin10111011010101…
…00101001000000
3111200121200212000
423231110221000
5400241233100
631254104000
74603426245
oct1355245100
9450550760
10196430400
11a0975081
125594b000
133190760a
141c1335cc
15123a1900
hexbb54a40

196430400 has 168 divisors, whose sum is σ = 716219040. Its totient is φ = 52369920.

The previous prime is 196430383. The next prime is 196430441. The reversal of 196430400 is 4034691.

196430400 is a `hidden beast` number, since 19 + 643 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40927 + ... + 45473.

Almost surely, 2196430400 is an apocalyptic number.

196430400 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 196430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358109520).

196430400 is an abundant number, since it is smaller than the sum of its proper divisors (519788640).

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

196430400 is a wasteful number, since it uses less digits than its factorization.

196430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 196430400 is about 14015.3629992234. The cubic root of 196430400 is about 581.3034498194.

The spelling of 196430400 in words is "one hundred ninety-six million, four hundred thirty thousand, four hundred".