Search a number
-
+
119387328 = 2631779463
BaseRepresentation
bin1110001110110…
…11010011000000
322022122111121220
413013123103000
5221030343303
615502515040
72646530004
oct707332300
9268574556
10119387328
1161433515
1233b95a80
131b9710b8
1411bda704
15a734053
hex71db4c0

119387328 has 112 divisors (see below), whose sum is σ = 339425280. Its totient is φ = 36900864.

The previous prime is 119387327. The next prime is 119387329. The reversal of 119387328 is 823783911.

It is an interprime number because it is at equal distance from previous prime (119387327) and next prime (119387329).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 119387328.

It is not an unprimeable number, because it can be changed into a prime (119387327) 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 15 ways as a sum of consecutive naturals, for example, 257625 + ... + 258087.

Almost surely, 2119387328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169712640).

119387328 is an abundant number, since it is smaller than the sum of its proper divisors (220037952).

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

119387328 is a wasteful number, since it uses less digits than its factorization.

119387328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 119387328 is about 10926.4508418791. The cubic root of 119387328 is about 492.4015493729.

The spelling of 119387328 in words is "one hundred nineteen million, three hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 79 96 102 136 158 192 204 237 272 316 408 463 474 544 632 816 926 948 1088 1264 1343 1389 1632 1852 1896 2528 2686 2778 3264 3704 3792 4029 5056 5372 5556 7408 7584 7871 8058 10744 11112 14816 15168 15742 16116 21488 22224 23613 29632 31484 32232 36577 42976 44448 47226 62968 64464 73154 85952 88896 94452 109731 125936 128928 146308 188904 219462 251872 257856 292616 377808 438924 503744 585232 621809 755616 877848 1170464 1243618 1511232 1755696 1865427 2340928 2487236 3511392 3730854 4974472 7022784 7461708 9948944 14923416 19897888 29846832 39795776 59693664 119387328