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154138640 = 24519234409
BaseRepresentation
bin10010010111111…
…11100000010000
3101202001001110112
421023333200100
5303424414030
623143420452
73551104535
oct1113774020
9352031415
10154138640
117a009707
1243754728
1325c1a8c6
1416684d8c
15d7eaa95
hex92ff810

154138640 has 80 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 55858176.

The previous prime is 154138637. The next prime is 154138651. The reversal of 154138640 is 46831451.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 154138597 and 154138606.

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 15 ways as a sum of consecutive naturals, for example, 32756 + ... + 37164.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2154138640 is an apocalyptic number.

154138640 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 154138640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

154138640 is an abundant number, since it is smaller than the sum of its proper divisors (239586160).

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

154138640 is a wasteful number, since it uses less digits than its factorization.

154138640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 154138640 is about 12415.2583541383. The cubic root of 154138640 is about 536.1716425120.

The spelling of 154138640 in words is "one hundred fifty-four million, one hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 760 874 920 1520 1748 1840 2185 3496 4370 4409 6992 8740 8818 17480 17636 22045 34960 35272 44090 70544 83771 88180 101407 167542 176360 202814 335084 352720 405628 418855 507035 670168 811256 837710 1014070 1340336 1622512 1675420 1926733 2028140 3350840 3853466 4056280 6701680 7706932 8112560 9633665 15413864 19267330 30827728 38534660 77069320 154138640