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146653812 = 223229140473
BaseRepresentation
bin10001011110111…
…00001001110100
3101012221210012200
420233130021310
5300020410222
622315144500
73430352064
oct1057341164
9335853180
10146653812
11758671a8
1241145130
13244c9b06
14156973a4
15cd1ceac
hex8bdc274

146653812 has 36 divisors (see below), whose sum is σ = 383494020. Its totient is φ = 47198592.

The previous prime is 146653807. The next prime is 146653813. The reversal of 146653812 is 218356641.

It is a happy number.

146653812 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 62821476 + 83832336 = 7926^2 + 9156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (146653813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69193 + ... + 71280.

Almost surely, 2146653812 is an apocalyptic number.

146653812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146653812 is an abundant number, since it is smaller than the sum of its proper divisors (236840208).

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

146653812 is a wasteful number, since it uses less digits than its factorization.

146653812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140512 (or 140507 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 146653812 is about 12110.0706851777. The cubic root of 146653812 is about 527.3485854286.

It can be divided in two parts, 1466 and 53812, that added together give a triangular number (55278 = T332).

The spelling of 146653812 in words is "one hundred forty-six million, six hundred fifty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 140473 280946 421419 561892 842838 1264257 1685676 2528514 4073717 5057028 8147434 12221151 16294868 24442302 36663453 48884604 73326906 146653812