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146109492 = 2232171931237
BaseRepresentation
bin10001011010101…
…11010000110100
3101011221010112200
420231113100310
5244401000432
622255344500
73422624124
oct1055272064
9334833480
10146109492
1175525251
1240b22130
1324369129
1415594c84
15cc61a7c
hex8b57434

146109492 has 72 divisors (see below), whose sum is σ = 393401736. Its totient is φ = 45563904.

The previous prime is 146109443. The next prime is 146109497. The reversal of 146109492 is 294901641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38489616 + 107619876 = 6204^2 + 10374^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146109497) 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, 117498 + ... + 118734.

It is an arithmetic number, because the mean of its divisors is an integer number (5463913).

Almost surely, 2146109492 is an apocalyptic number.

146109492 is a gapful number since it is divisible by the number (12) 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 146109492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196700868).

146109492 is an abundant number, since it is smaller than the sum of its proper divisors (247292244).

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

146109492 is a wasteful number, since it uses less digits than its factorization.

146109492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 146109492 is about 12087.5759356457. The cubic root of 146109492 is about 526.6953412435.

The spelling of 146109492 in words is "one hundred forty-six million, one hundred nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 193 204 306 386 579 612 772 1158 1237 1737 2316 2474 3281 3474 3711 4948 6562 6948 7422 9843 11133 13124 14844 19686 21029 22266 29529 39372 42058 44532 59058 63087 84116 118116 126174 189261 238741 252348 378522 477482 716223 757044 954964 1432446 2148669 2864892 4058597 4297338 8117194 8594676 12175791 16234388 24351582 36527373 48703164 73054746 146109492