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154138200 = 23352318287
BaseRepresentation
bin10010010111111…
…11011001011000
3101202001000212020
421023333121120
5303424410300
623143414440
73551103336
oct1113773130
9352030766
10154138200
117a009347
1243754420
1325c1a648
1416684b56
15d7ea8a0
hex92ff658

154138200 has 96 divisors (see below), whose sum is σ = 493301760. Its totient is φ = 39772800.

The previous prime is 154138199. The next prime is 154138207. The reversal of 154138200 is 2831451.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154138207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14457 + ... + 22743.

It is an arithmetic number, because the mean of its divisors is an integer number (5138560).

Almost surely, 2154138200 is an apocalyptic number.

154138200 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 154138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246650880).

154138200 is an abundant number, since it is smaller than the sum of its proper divisors (339163560).

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

154138200 is a wasteful number, since it uses less digits than its factorization.

154138200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 154138200 is about 12415.2406339950. The cubic root of 154138200 is about 536.1711323312.

Adding to 154138200 its reverse (2831451), we get a palindrome (156969651).

The spelling of 154138200 in words is "one hundred fifty-four million, one hundred thirty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 8287 9300 16574 18600 24861 33148 41435 49722 66296 82870 99444 124305 165740 198888 207175 248610 256897 331480 414350 497220 513794 621525 770691 828700 994440 1027588 1243050 1284485 1541382 1657400 2055176 2486100 2568970 3082764 3853455 4972200 5137940 6165528 6422425 7706910 10275880 12844850 15413820 19267275 25689700 30827640 38534550 51379400 77069100 154138200