Search a number
-
+
146625660 = 223351931461
BaseRepresentation
bin10001011110101…
…01010001111100
3101012220100121000
420233111101330
5300014010120
622314410300
73430204026
oct1057252174
9335810530
10146625660
1175848035
1241130990
13244ba05c
141568b016
15cd14990
hex8bd547c

146625660 has 192 divisors, whose sum is σ = 496742400. Its totient is φ = 35769600.

The previous prime is 146625649. The next prime is 146625671. The reversal of 146625660 is 66526641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (146625649) and next prime (146625671).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317830 + ... + 318290.

It is an arithmetic number, because the mean of its divisors is an integer number (2587200).

Almost surely, 2146625660 is an apocalyptic number.

146625660 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 146625660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248371200).

146625660 is an abundant number, since it is smaller than the sum of its proper divisors (350116740).

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

146625660 is a wasteful number, since it uses less digits than its factorization.

146625660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

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

The square root of 146625660 is about 12108.9082910063. The cubic root of 146625660 is about 527.3148395904.

The spelling of 146625660 in words is "one hundred forty-six million, six hundred twenty-five thousand, six hundred sixty".