Search a number
-
+
191634016 = 2572833023
BaseRepresentation
bin10110110110000…
…01101001100000
3111100121000110011
423123001221200
5343024242031
631003214304
74514601520
oct1333015140
9440530404
10191634016
1199199522
1254217394
1330918412
141b645680
1511c556b1
hexb6c1a60

191634016 has 48 divisors (see below), whose sum is σ = 432843264. Its totient is φ = 81811584.

The previous prime is 191634011. The next prime is 191634029. The reversal of 191634016 is 610436191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191634011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61881 + ... + 64903.

It is an arithmetic number, because the mean of its divisors is an integer number (9017568).

Almost surely, 2191634016 is an apocalyptic number.

191634016 is a gapful number since it is divisible by the number (16) 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 191634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216421632).

191634016 is an abundant number, since it is smaller than the sum of its proper divisors (241209248).

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

191634016 is a wasteful number, since it uses less digits than its factorization.

191634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3315 counting only the distinct ones).

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

The square root of 191634016 is about 13843.1938511313. The cubic root of 191634016 is about 576.5330392298.

The spelling of 191634016 in words is "one hundred ninety-one million, six hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 283 566 1132 1981 2264 3023 3962 4528 6046 7924 9056 12092 15848 21161 24184 31696 42322 48368 63392 84644 96736 169288 338576 677152 855509 1711018 3422036 5988563 6844072 11977126 13688144 23954252 27376288 47908504 95817008 191634016