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154130400 = 25325221407
BaseRepresentation
bin10010010111111…
…01011111100000
3101202000122011100
421023331133200
5303424133100
623143314400
73551041524
oct1113753740
9352018140
10154130400
117a0034a6
124374ba00
1325c16c28
1416681d84
15d7e8400
hex92fd7e0

154130400 has 108 divisors (see below), whose sum is σ = 543527712. Its totient is φ = 41099520.

The previous prime is 154130399. The next prime is 154130401. The reversal of 154130400 is 4031451.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (154130399) and next prime (154130401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154130401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3504 + ... + 17903.

It is an arithmetic number, because the mean of its divisors is an integer number (5032664).

Almost surely, 2154130400 is an apocalyptic number.

154130400 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 154130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271763856).

154130400 is an abundant number, since it is smaller than the sum of its proper divisors (389397312).

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

154130400 is a wasteful number, since it uses less digits than its factorization.

154130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21433 (or 21417 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 154130400 is about 12414.9264999838. The cubic root of 154130400 is about 536.1620880549.

Adding to 154130400 its reverse (4031451), we get a palindrome (158161851).

The spelling of 154130400 in words is "one hundred fifty-four million, one hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 21407 42814 64221 85628 107035 128442 171256 192663 214070 256884 321105 342512 385326 428140 513768 535175 642210 685024 770652 856280 963315 1027536 1070350 1284420 1541304 1605525 1712560 1926630 2055072 2140700 2568840 3082608 3211050 3425120 3853260 4281400 4816575 5137680 6165216 6422100 7706520 8562800 9633150 10275360 12844200 15413040 17125600 19266300 25688400 30826080 38532600 51376800 77065200 154130400