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196420032 = 2633197577
BaseRepresentation
bin10111011010100…
…10000111000000
3111200121011122000
423231102013000
5400240420112
631253544000
74603354104
oct1355220700
9450534560
10196420032
11a0968306
1255945000
1331902993
141c12d904
151239d7dc
hexbb521c0

196420032 has 112 divisors (see below), whose sum is σ = 581375520. Its totient is φ = 65028096.

The previous prime is 196419973. The next prime is 196420039. The reversal of 196420032 is 230024691.

196420032 is a `hidden beast` number, since 19 + 642 + 0 + 0 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 196419978 and 196420005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196420039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340128 + ... + 340704.

Almost surely, 2196420032 is an apocalyptic number.

196420032 is a gapful number since it is divisible by the number (12) 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 196420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290687760).

196420032 is an abundant number, since it is smaller than the sum of its proper divisors (384955488).

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

196420032 is a wasteful number, since it uses less digits than its factorization.

196420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 779 counting only the distinct ones).

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

The square root of 196420032 is about 14014.9931145185. The cubic root of 196420032 is about 581.2932221761.

The spelling of 196420032 in words is "one hundred ninety-six million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 197 216 288 394 432 576 577 591 788 864 1154 1182 1576 1728 1731 1773 2308 2364 3152 3462 3546 4616 4728 5193 5319 6304 6924 7092 9232 9456 10386 10638 12608 13848 14184 15579 18464 18912 20772 21276 27696 28368 31158 36928 37824 41544 42552 55392 56736 62316 83088 85104 110784 113472 113669 124632 166176 170208 227338 249264 332352 340416 341007 454676 498528 682014 909352 997056 1023021 1364028 1818704 2046042 2728056 3069063 3637408 4092084 5456112 6138126 7274816 8184168 10912224 12276252 16368336 21824448 24552504 32736672 49105008 65473344 98210016 196420032