Search a number
-
+
146298100 = 225213195923
BaseRepresentation
bin10001011100001…
…01010011110100
3101012021201021011
420232011103310
5244423014400
622303402004
73424341034
oct1056052364
9335251234
10146298100
1175643a23
1240bb3304
1324403c30
14156038c4
15cc9c8ba
hex8b854f4

146298100 has 72 divisors (see below), whose sum is σ = 359942240. Its totient is φ = 51166080.

The previous prime is 146298079. The next prime is 146298109. The reversal of 146298100 is 1892641.

It is a happy number.

It is a super-2 number, since 2×1462981002 = 42806268127220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146298109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21739 + ... + 27661.

Almost surely, 2146298100 is an apocalyptic number.

146298100 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 146298100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179971120).

146298100 is an abundant number, since it is smaller than the sum of its proper divisors (213644140).

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

146298100 is a wasteful number, since it uses less digits than its factorization.

146298100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969 (or 5962 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 146298100 is about 12095.3751492048. The cubic root of 146298100 is about 526.9218751023.

The spelling of 146298100 in words is "one hundred forty-six million, two hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 5923 6175 11846 12350 23692 24700 29615 59230 76999 112537 118460 148075 153998 225074 296150 307996 384995 450148 562685 592300 769990 1125370 1462981 1539980 1924975 2250740 2813425 2925962 3849950 5626850 5851924 7314905 7699900 11253700 14629810 29259620 36574525 73149050 146298100