Search a number
-
+
154101024 = 25327116949
BaseRepresentation
bin10010010111101…
…10010100100000
3101201222010212100
421023312110200
5303422213044
623142530400
73550560060
oct1113662440
9351863770
10154101024
1179a93420
1243736a00
1325c0674c
14166753a0
15d7de869
hex92f6520

154101024 has 144 divisors (see below), whose sum is σ = 546436800. Its totient is φ = 40020480.

The previous prime is 154101019. The next prime is 154101049. The reversal of 154101024 is 420101451.

154101024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 154100988 and 154101006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18702 + ... + 25650.

It is an arithmetic number, because the mean of its divisors is an integer number (3794700).

Almost surely, 2154101024 is an apocalyptic number.

154101024 is a gapful number since it is divisible by the number (14) 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 154101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273218400).

154101024 is an abundant number, since it is smaller than the sum of its proper divisors (392335776).

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

154101024 is a wasteful number, since it uses less digits than its factorization.

154101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 154101024 is about 12413.7433516244. The cubic root of 154101024 is about 536.1280231804.

Adding to 154101024 its reverse (420101451), we get a palindrome (574202475).

The spelling of 154101024 in words is "one hundred fifty-four million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 6949 7392 11088 13898 20847 22176 27796 41694 48643 55592 62541 76439 83388 97286 111184 125082 145929 152878 166776 194572 222368 229317 250164 291858 305756 333552 389144 437787 458634 500328 535073 583716 611512 667104 687951 778288 875574 917268 1000656 1070146 1167432 1223024 1375902 1556576 1605219 1751148 1834536 2001312 2140292 2334864 2446048 2751804 3210438 3502296 3669072 4280584 4669728 4815657 5503608 6420876 7004592 7338144 8561168 9631314 11007216 12841752 14009184 17122336 19262628 22014432 25683504 38525256 51367008 77050512 154101024