Search a number
-
+
154454040 = 233451319193
BaseRepresentation
bin10010011010011…
…00100000011000
3101202122002010000
421031030200120
5304020012130
623154253000
73553560216
oct1115144030
9352562100
10154454040
117a204674
1243887160
1325ccb330
1416727cb6
15d85e260
hex934c818

154454040 has 320 divisors, whose sum is σ = 591544800. Its totient is φ = 35831808.

The previous prime is 154454033. The next prime is 154454063. The reversal of 154454040 is 40454451.

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

It is a junction number, because it is equal to n+sod(n) for n = 154453995 and 154454013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 800184 + ... + 800376.

Almost surely, 2154454040 is an apocalyptic number.

154454040 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 154454040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295772400).

154454040 is an abundant number, since it is smaller than the sum of its proper divisors (437090760).

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

154454040 is a wasteful number, since it uses less digits than its factorization.

154454040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 154454040 is about 12427.9539748102. The cubic root of 154454040 is about 536.5370999192.

The spelling of 154454040 in words is "one hundred fifty-four million, four hundred fifty-four thousand, forty".