Search a number
-
+
146121910 = 25113173587
BaseRepresentation
bin10001011010110…
…10010010110110
3101011221202120121
420231122102312
5244401400120
622255522154
73423005254
oct1055322266
9334852517
10146121910
1175533610
1240b2935a
132437198c
14155995d4
15cc655aa
hex8b5a4b6

146121910 has 64 divisors (see below), whose sum is σ = 300754944. Its totient is φ = 50630400.

The previous prime is 146121907. The next prime is 146121929. The reversal of 146121910 is 19121641.

146121910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1461219102 = 42703225164096200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248637 + ... + 249223.

It is an arithmetic number, because the mean of its divisors is an integer number (4699296).

Almost surely, 2146121910 is an apocalyptic number.

146121910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146121910 is an abundant number, since it is smaller than the sum of its proper divisors (154633034).

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

146121910 is a wasteful number, since it uses less digits than its factorization.

146121910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 146121910 is about 12088.0895926528. The cubic root of 146121910 is about 526.7102622852.

The spelling of 146121910 in words is "one hundred forty-six million, one hundred twenty-one thousand, nine hundred ten".

Divisors: 1 2 5 10 11 22 31 55 62 73 110 146 155 310 341 365 587 682 730 803 1174 1606 1705 2263 2935 3410 4015 4526 5870 6457 8030 11315 12914 18197 22630 24893 32285 36394 42851 49786 64570 85702 90985 124465 181970 200167 214255 248930 400334 428510 471361 942722 1000835 1328381 2001670 2356805 2656762 4713610 6641905 13283810 14612191 29224382 73060955 146121910