Search a number
-
+
154121130 = 23451491277
BaseRepresentation
bin10010010111110…
…11001110101010
3101202000011110000
421023323032222
5303423334010
623143203430
73551002512
oct1113731652
9352004400
10154121130
1179aa7539
1243746576
1325c12947
141667c842
15d7e57c0
hex92fb3aa

154121130 has 80 divisors (see below), whose sum is σ = 417522600. Its totient is φ = 40791168.

The previous prime is 154121117. The next prime is 154121153. The reversal of 154121130 is 31121451.

It can be written as a sum of positive squares in 4 ways, for example, as 104714289 + 49406841 = 10233^2 + 7029^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120052 + ... + 121328.

Almost surely, 2154121130 is an apocalyptic number.

154121130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 154121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208761300).

154121130 is an abundant number, since it is smaller than the sum of its proper divisors (263401470).

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

154121130 is a wasteful number, since it uses less digits than its factorization.

154121130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 154121130 is about 12414.5531534566. The cubic root of 154121130 is about 536.1513388837.

Adding to 154121130 its reverse (31121451), we get a palindrome (185242581).

The spelling of 154121130 in words is "one hundred fifty-four million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 149 162 270 298 405 447 745 810 894 1277 1341 1490 2235 2554 2682 3831 4023 4470 6385 6705 7662 8046 11493 12069 12770 13410 19155 20115 22986 24138 34479 38310 40230 57465 60345 68958 103437 114930 120690 172395 190273 206874 344790 380546 517185 570819 951365 1034370 1141638 1712457 1902730 2854095 3424914 5137371 5708190 8562285 10274742 15412113 17124570 25686855 30824226 51373710 77060565 154121130