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154085840 = 2455336341
BaseRepresentation
bin10010010111100…
…10100111010000
3101201221101000222
421023302213100
5303421221330
623142332212
73550464566
oct1113624720
9351841028
10154085840
1179a82a77
124372a068
1325bcc86c
141666da36
15d7da0e5
hex92f29d0

154085840 has 40 divisors (see below), whose sum is σ = 365019048. Its totient is φ = 60469760.

The previous prime is 154085821. The next prime is 154085849. The reversal of 154085840 is 48580451.

154085840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47004736 + 107081104 = 6856^2 + 10348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 154085840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154085849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13931 + ... + 22410.

Almost surely, 2154085840 is an apocalyptic number.

154085840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154085840 is an abundant number, since it is smaller than the sum of its proper divisors (210933208).

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

154085840 is a wasteful number, since it uses less digits than its factorization.

154085840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36407 (or 36401 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 154085840 is about 12413.1317563297. The cubic root of 154085840 is about 536.1104138765.

The spelling of 154085840 in words is "one hundred fifty-four million, eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 36341 72682 145364 181705 290728 363410 581456 726820 1453640 1926073 2907280 3852146 7704292 9630365 15408584 19260730 30817168 38521460 77042920 154085840