Search a number
-
+
145995696 = 24347211219
BaseRepresentation
bin10001011001110…
…11011110110000
3101011201100110000
420230323132300
5244333330241
622253110000
73421641300
oct1054733660
9334640400
10145995696
1175457800
1240a88300
13243293b2
1415565600
15cc3ceb6
hex8b3b7b0

145995696 has 450 divisors, whose sum is σ = 568726620. Its totient is φ = 35925120.

The previous prime is 145995691. The next prime is 145995719. The reversal of 145995696 is 696599541.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2624400) is a multiple of the sum of its prime factors (75).

It is not an unprimeable number, because it can be changed into a prime (145995691) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7683975 + ... + 7683993.

Almost surely, 2145995696 is an apocalyptic number.

145995696 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 145995696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284363310).

145995696 is an abundant number, since it is smaller than the sum of its proper divisors (422730924).

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

145995696 is a wasteful number, since it uses less digits than its factorization.

145995696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 145995696 is about 12082.8678714947. The cubic root of 145995696 is about 526.5585684961.

The spelling of 145995696 in words is "one hundred forty-five million, nine hundred ninety-five thousand, six hundred ninety-six".