Search a number
-
+
190147608 = 23337671877
BaseRepresentation
bin10110101010101…
…10110000011000
3111020210111111000
423111112300120
5342134210413
630511305000
74466141130
oct1325266030
9436714430
10190147608
1198373792
125381b160
13305179a1
141b379ac0
1511a60073
hexb556c18

190147608 has 128 divisors (see below), whose sum is σ = 612979200. Its totient is φ = 53488512.

The previous prime is 190147603. The next prime is 190147613. The reversal of 190147608 is 806741091.

190147608 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 47 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (190147603) and next prime (190147613).

It is a super-2 number, since 2×1901476082 = 72312225656243328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190147603) 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 31 ways as a sum of consecutive naturals, for example, 100366 + ... + 102242.

It is an arithmetic number, because the mean of its divisors is an integer number (4788900).

Almost surely, 2190147608 is an apocalyptic number.

190147608 is a gapful number since it is divisible by the number (18) 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 190147608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306489600).

190147608 is an abundant number, since it is smaller than the sum of its proper divisors (422831592).

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

190147608 is a wasteful number, since it uses less digits than its factorization.

190147608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 190147608 is about 13789.4020174915. The cubic root of 190147608 is about 575.0385436040.

Adding to 190147608 its reverse (806741091), we get a palindrome (996888699).

The spelling of 190147608 in words is "one hundred ninety million, one hundred forty-seven thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 84 108 126 134 168 189 201 216 252 268 378 402 469 504 536 603 756 804 938 1206 1407 1512 1608 1809 1876 1877 2412 2814 3618 3752 3754 4221 4824 5628 5631 7236 7508 8442 11256 11262 12663 13139 14472 15016 16884 16893 22524 25326 26278 33768 33786 39417 45048 50652 50679 52556 67572 78834 101304 101358 105112 118251 125759 135144 157668 202716 236502 251518 315336 354753 377277 405432 473004 503036 709506 754554 880313 946008 1006072 1131831 1419012 1509108 1760626 2263662 2640939 2838024 3018216 3395493 3521252 4527324 5281878 6790986 7042504 7922817 9054648 10563756 13581972 15845634 21127512 23768451 27163944 31691268 47536902 63382536 95073804 190147608