Search a number
-
+
196012032 = 211361523
BaseRepresentation
bin10111010111011…
…10100000000000
3111122211102221220
423223232200000
5400134341112
631241115040
74600034436
oct1353564000
9448742856
10196012032
11a0709817
1255788a80
13317bc068
141c064d56
151231c98c
hexbaee800

196012032 has 96 divisors (see below), whose sum is σ = 532153440. Its totient is φ = 64143360.

The previous prime is 196012027. The next prime is 196012079. The reversal of 196012032 is 230210691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 196011993 and 196012011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374523 + ... + 375045.

It is an arithmetic number, because the mean of its divisors is an integer number (5543265).

Almost surely, 2196012032 is an apocalyptic number.

196012032 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 196012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266076720).

196012032 is an abundant number, since it is smaller than the sum of its proper divisors (336141408).

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

196012032 is an equidigital number, since it uses as much as digits as its factorization.

196012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 196012032 is about 14000.4297076911. The cubic root of 196012032 is about 580.8904593904.

The spelling of 196012032 in words is "one hundred ninety-six million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 523 732 768 976 1024 1046 1464 1536 1569 1952 2048 2092 2928 3072 3138 3904 4184 5856 6144 6276 7808 8368 11712 12552 15616 16736 23424 25104 31232 31903 33472 46848 50208 62464 63806 66944 93696 95709 100416 124928 127612 133888 187392 191418 200832 255224 267776 374784 382836 401664 510448 535552 765672 803328 1020896 1071104 1531344 1606656 2041792 3062688 3213312 4083584 6125376 8167168 12250752 16334336 24501504 32668672 49003008 65337344 98006016 196012032