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21413196 = 22327261199
BaseRepresentation
bin101000110101…
…1110101001100
31111021220101100
41101223311030
520440210241
62042543100
7350003100
oct121536514
944256340
1021413196
11110a6062
127207a90
13458973c
142bb5900
151d2e9b6
hex146bd4c

21413196 has 108 divisors (see below), whose sum is σ = 64318800. Its totient is φ = 5987520.

The previous prime is 21413191. The next prime is 21413221. The reversal of 21413196 is 69131412.

21413196 = 92 + 102 + ... + 4002.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21413191) 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 35 ways as a sum of consecutive naturals, for example, 107505 + ... + 107703.

Almost surely, 221413196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21413196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32159400).

21413196 is an abundant number, since it is smaller than the sum of its proper divisors (42905604).

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

21413196 is a wasteful number, since it uses less digits than its factorization.

21413196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 21413196 is about 4627.4394647580. The cubic root of 21413196 is about 277.6901642740.

It can be divided in two parts, 21413 and 196, that added together give a square (21609 = 1472).

The spelling of 21413196 in words is "twenty-one million, four hundred thirteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 61 63 84 98 122 126 147 183 196 199 244 252 294 366 398 427 441 549 588 597 732 796 854 882 1098 1194 1281 1393 1708 1764 1791 2196 2388 2562 2786 2989 3582 3843 4179 5124 5572 5978 7164 7686 8358 8967 9751 11956 12139 12537 15372 16716 17934 19502 24278 25074 26901 29253 35868 36417 39004 48556 50148 53802 58506 72834 84973 87759 107604 109251 117012 145668 169946 175518 218502 254919 339892 351036 437004 509838 594811 764757 1019676 1189622 1529514 1784433 2379244 3059028 3568866 5353299 7137732 10706598 21413196