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154240938 = 232371012293
BaseRepresentation
bin10010011000110…
…00011110101010
3101202020020210100
421030120132222
5303441202223
623145530230
73552012015
oct1114303652
9352206710
10154240938
117a079555
12437a3976
1325c55337
14166b037c
15d81b043
hex93187aa

154240938 has 48 divisors (see below), whose sum is σ = 346770216. Its totient is φ = 49507200.

The previous prime is 154240909. The next prime is 154240951. The reversal of 154240938 is 839042451.

It can be written as a sum of positive squares in 4 ways, for example, as 154181889 + 59049 = 12417^2 + 243^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 66120 + ... + 68412.

Almost surely, 2154240938 is an apocalyptic number.

154240938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 154240938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173385108).

154240938 is an abundant number, since it is smaller than the sum of its proper divisors (192529278).

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

154240938 is a wasteful number, since it uses less digits than its factorization.

154240938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 154240938 is about 12419.3775206328. The cubic root of 154240938 is about 536.2902308970.

The spelling of 154240938 in words is "one hundred fifty-four million, two hundred forty thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 333 606 666 909 1818 2293 3737 4586 6879 7474 11211 13758 20637 22422 33633 41274 67266 84841 169682 231593 254523 463186 509046 694779 763569 1389558 1527138 2084337 4168674 8568941 17137882 25706823 51413646 77120469 154240938