Search a number
-
+
2154340530 = 233583251383
BaseRepresentation
bin1000000001101000…
…1010000010110010
312120010202211122000
42000122022002302
513403002344110
6553434554430
7104246410116
oct20032120262
95503684560
102154340530
11a06083a21
12501598a16
13284435b14
14166193746
15c91ed1c0
hex8068a0b2

2154340530 has 128 divisors (see below), whose sum is σ = 5852528640. Its totient is φ = 563832000.

The previous prime is 2154340511. The next prime is 2154340547. The reversal of 2154340530 is 350434512.

2154340530 is a `hidden beast` number, since 215 + 43 + 405 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2154340494 and 2154340503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5624719 + ... + 5625101.

It is an arithmetic number, because the mean of its divisors is an integer number (45722880).

Almost surely, 22154340530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154340530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926264320).

2154340530 is an abundant number, since it is smaller than the sum of its proper divisors (3698188110).

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

2154340530 is a wasteful number, since it uses less digits than its factorization.

2154340530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2154340530 is about 46414.8740168494. The cubic root of 2154340530 is about 1291.5308489221.

The spelling of 2154340530 in words is "two billion, one hundred fifty-four million, three hundred forty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 251 270 383 415 498 502 747 753 766 830 1149 1245 1255 1494 1506 1915 2241 2259 2298 2490 2510 3447 3735 3765 3830 4482 4518 5745 6777 6894 7470 7530 10341 11205 11295 11490 13554 17235 20682 20833 22410 22590 31789 33885 34470 41666 51705 62499 63578 67770 95367 96133 103410 104165 124998 158945 187497 190734 192266 208330 286101 288399 312495 317890 374994 476835 480665 562491 572202 576798 624990 858303 865197 937485 953670 961330 1124982 1430505 1441995 1716606 1730394 1874970 2595591 2812455 2861010 2883990 4291515 4325985 5191182 5624910 7979039 8583030 8651970 12977955 15958078 23937117 25955910 39895195 47874234 71811351 79790390 119685585 143622702 215434053 239371170 359056755 430868106 718113510 1077170265 2154340530