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20194960 = 2454147131
BaseRepresentation
bin100110100001…
…0011010010000
31102000000021111
41031002122100
520132214320
62000503104
7333440302
oct115023220
942000244
1020194960
1110443855
12691aa94
1342510a6
142979972
151b8da5a
hex1342690

20194960 has 80 divisors (see below), whose sum is σ = 49496832. Its totient is φ = 7654400.

The previous prime is 20194957. The next prime is 20194969. The reversal of 20194960 is 6949102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20194969) 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, 154095 + ... + 154225.

Almost surely, 220194960 is an apocalyptic number.

20194960 is a gapful number since it is divisible by the number (20) 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 20194960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748416).

20194960 is an abundant number, since it is smaller than the sum of its proper divisors (29301872).

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

20194960 is a wasteful number, since it uses less digits than its factorization.

20194960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 20194960 is about 4493.8802832296. The cubic root of 20194960 is about 272.3209159167.

The spelling of 20194960 in words is "twenty million, one hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 47 80 82 94 131 164 188 205 235 262 328 376 410 470 524 655 656 752 820 940 1048 1310 1640 1880 1927 2096 2620 3280 3760 3854 5240 5371 6157 7708 9635 10480 10742 12314 15416 19270 21484 24628 26855 30785 30832 38540 42968 49256 53710 61570 77080 85936 98512 107420 123140 154160 214840 246280 252437 429680 492560 504874 1009748 1262185 2019496 2524370 4038992 5048740 10097480 20194960