Search a number
-
+
191274192 = 243212710459
BaseRepresentation
bin10110110011010…
…01110011010000
3111022220201212100
423121221303100
5342431233232
630551400400
74511542464
oct1331516320
9438821770
10191274192
1198a7314a
1254083100
13308206c5
141b5904a4
1511bd3c7c
hexb669cd0

191274192 has 60 divisors (see below), whose sum is σ = 539568640. Its totient is φ = 63249984.

The previous prime is 191274137. The next prime is 191274211. The reversal of 191274192 is 291472191.

191274192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13059 + ... + 23517.

Almost surely, 2191274192 is an apocalyptic number.

191274192 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 191274192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269784320).

191274192 is an abundant number, since it is smaller than the sum of its proper divisors (348294448).

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

191274192 is a wasteful number, since it uses less digits than its factorization.

191274192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10600 (or 10591 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 191274192 is about 13830.1913218871. The cubic root of 191274192 is about 576.1719683286.

The spelling of 191274192 in words is "one hundred ninety-one million, two hundred seventy-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 3048 4572 6096 9144 10459 18288 20918 31377 41836 62754 83672 94131 125508 167344 188262 251016 376524 502032 753048 1328293 1506096 2656586 3984879 5313172 7969758 10626344 11954637 15939516 21252688 23909274 31879032 47818548 63758064 95637096 191274192