Search a number
-
+
145796976 = 24331321997
BaseRepresentation
bin10001011000010…
…10111101110000
3101011100020212000
420230022331300
5244311000401
622244534000
73420153033
oct1054127560
9334306760
10145796976
1175331476
12409b1300
1324289b00
141551301a
15cbee186
hex8b0af70

145796976 has 120 divisors (see below), whose sum is σ = 453386160. Its totient is φ = 44838144.

The previous prime is 145796971. The next prime is 145797031. The reversal of 145796976 is 679697541.

145796976 is a `hidden beast` number, since 1 + 4 + 579 + 69 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145796971) 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 23 ways as a sum of consecutive naturals, for example, 72010 + ... + 74006.

It is an arithmetic number, because the mean of its divisors is an integer number (3778218).

Almost surely, 2145796976 is an apocalyptic number.

145796976 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 145796976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226693080).

145796976 is an abundant number, since it is smaller than the sum of its proper divisors (307589184).

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

145796976 is a wasteful number, since it uses less digits than its factorization.

145796976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2015 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 145796976 is about 12074.6418580428. The cubic root of 145796976 is about 526.3195540755.

The spelling of 145796976 in words is "one hundred forty-five million, seven hundred ninety-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 312 338 351 432 468 507 624 676 702 936 1014 1352 1404 1521 1872 1997 2028 2704 2808 3042 3994 4056 4563 5616 5991 6084 7988 8112 9126 11982 12168 15976 17973 18252 23964 24336 25961 31952 35946 36504 47928 51922 53919 71892 73008 77883 95856 103844 107838 143784 155766 207688 215676 233649 287568 311532 337493 415376 431352 467298 623064 674986 700947 862704 934596 1012479 1246128 1349972 1401894 1869192 2024958 2699944 2803788 3037437 3738384 4049916 5399888 5607576 6074874 8099832 9112311 11215152 12149748 16199664 18224622 24299496 36449244 48598992 72898488 145796976