Search a number
-
+
154314720 = 2539572
BaseRepresentation
bin10010011001010…
…10011111100000
3101202101000000000
421030222133200
5304001032340
623151300000
73552440100
oct1114523740
9352330000
10154314720
117a119a2a
124381a600
1325c7cab1
14166cd200
15d832d30
hex932a7e0

154314720 has 360 divisors, whose sum is σ = 636124104. Its totient is φ = 35271936.

The previous prime is 154314709. The next prime is 154314731. The reversal of 154314720 is 27413451.

It is an interprime number because it is at equal distance from previous prime (154314709) and next prime (154314731).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 22044957 + ... + 22044963.

Almost surely, 2154314720 is an apocalyptic number.

154314720 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 154314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318062052).

154314720 is an abundant number, since it is smaller than the sum of its proper divisors (481809384).

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

154314720 is an frugal number, since it uses more digits than its factorization.

154314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 154314720 is about 12422.3476042172. The cubic root of 154314720 is about 536.3757297248.

The spelling of 154314720 in words is "one hundred fifty-four million, three hundred fourteen thousand, seven hundred twenty".