Search a number
-
+
153300092920 = 235134357112007
BaseRepresentation
bin1000111011000101100…
…1011100011111111000
3112122200202011121022021
42032301121130133320
510002424310433140
6154231453004224
714034630201262
oct2166131343770
9478622147267
10153300092920
115a0179a6877
1225863a83674
13115c1194b70
1475c3b92b32
153ec369eb4a
hex23b165c7f8

153300092920 has 128 divisors (see below), whose sum is σ = 380793853440. Its totient is φ = 55185338880.

The previous prime is 153300092909. The next prime is 153300092921. The reversal of 153300092920 is 29290003351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153300092921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12761557 + ... + 12773563.

It is an arithmetic number, because the mean of its divisors is an integer number (2974951980).

Almost surely, 2153300092920 is an apocalyptic number.

153300092920 is a gapful number since it is divisible by the number (10) 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 153300092920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190396926720).

153300092920 is an abundant number, since it is smaller than the sum of its proper divisors (227493760520).

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

153300092920 is a wasteful number, since it uses less digits than its factorization.

153300092920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645 (or 12641 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The spelling of 153300092920 in words is "one hundred fifty-three billion, three hundred million, ninety-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 571 860 1118 1142 1720 2236 2284 2795 2855 4472 4568 5590 5710 7423 11180 11420 12007 14846 22360 22840 24014 24553 29692 37115 48028 49106 59384 60035 74230 96056 98212 120070 122765 148460 156091 196424 240140 245530 296920 312182 319189 480280 491060 516301 624364 638378 780455 982120 1032602 1248728 1276756 1560910 1595945 2065204 2553512 2581505 3121820 3191890 4130408 5163010 6243640 6383780 6711913 6855997 10326020 12767560 13423826 13711994 20652040 26847652 27423988 33559565 34279985 53695304 54847976 67119130 68559970 89127961 134238260 137119940 178255922 268476520 274239880 294807871 356511844 445639805 589615742 713023688 891279610 1179231484 1474039355 1782559220 2358462968 2948078710 3565118440 3832502323 5896157420 7665004646 11792314840 15330009292 19162511615 30660018584 38325023230 76650046460 153300092920