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191920938 = 231119314937
BaseRepresentation
bin10110111000001…
…11101100101010
3111101010121000220
423130013230222
5343112432223
631013310510
74520205156
oct1334075452
9441117026
10191920938
1199375050
1254335436
13309b8bb1
141b6bc066
1511cb06e3
hexb707b2a

191920938 has 64 divisors (see below), whose sum is σ = 455086080. Its totient is φ = 53308800.

The previous prime is 191920931. The next prime is 191920943. The reversal of 191920938 is 839029191.

It is a self number, because there is not a number n which added to its sum of digits gives 191920938.

It is not an unprimeable number, because it can be changed into a prime (191920931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36406 + ... + 41342.

It is an arithmetic number, because the mean of its divisors is an integer number (7110720).

Almost surely, 2191920938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191920938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227543040).

191920938 is an abundant number, since it is smaller than the sum of its proper divisors (263165142).

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

191920938 is a wasteful number, since it uses less digits than its factorization.

191920938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003.

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 191920938 is about 13853.5532626110. The cubic root of 191920938 is about 576.8206317407.

It can be divided in two parts, 191 and 920938, that added together give a palindrome (921129).

The spelling of 191920938 in words is "one hundred ninety-one million, nine hundred twenty thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 589 627 682 1023 1178 1254 1767 2046 3534 4937 6479 9874 12958 14811 19437 29622 38874 54307 93803 108614 153047 162921 187606 281409 306094 325842 459141 562818 918282 1031833 1683517 2063666 2907893 3095499 3367034 5050551 5815786 6190998 8723679 10101102 17447358 31986823 63973646 95960469 191920938