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146620656 = 243271367167
BaseRepresentation
bin10001011110101…
…00000011110000
3101012220002201200
420233110003300
5300013330111
622314331200
73430153320
oct1057240360
9335802650
10146620656
11758442a6
1241129b00
13244b79b0
1415689280
15cd13256
hex8bd40f0

146620656 has 240 divisors, whose sum is σ = 515633664. Its totient is φ = 37863936.

The previous prime is 146620601. The next prime is 146620657. The reversal of 146620656 is 656026641.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 146620656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146620657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877885 + ... + 878051.

Almost surely, 2146620656 is an apocalyptic number.

146620656 is a gapful number since it is divisible by the number (16) 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 146620656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257816832).

146620656 is an abundant number, since it is smaller than the sum of its proper divisors (369013008).

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

146620656 is a wasteful number, since it uses less digits than its factorization.

146620656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 146620656 is about 12108.7016645056. The cubic root of 146620656 is about 527.3088408371.

It can be divided in two parts, 1466 and 20656, that added together give a palindrome (22122).

The spelling of 146620656 in words is "one hundred forty-six million, six hundred twenty thousand, six hundred fifty-six".