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149377400 = 23521275881
BaseRepresentation
bin10001110011101…
…01000101111000
3101102002011021022
420321311011320
5301220034100
622453402012
73462454424
oct1071650570
9342064238
10149377400
11773574a7
1242039308
1324c416c3
1415ba5b84
15d1a9e85
hex8e75178

149377400 has 48 divisors (see below), whose sum is σ = 350096640. Its totient is φ = 59270400.

The previous prime is 149377357. The next prime is 149377427. The reversal of 149377400 is 4773941.

149377400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22460 + ... + 28340.

It is an arithmetic number, because the mean of its divisors is an integer number (7293680).

Almost surely, 2149377400 is an apocalyptic number.

149377400 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 149377400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175048320).

149377400 is an abundant number, since it is smaller than the sum of its proper divisors (200719240).

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

149377400 is a wasteful number, since it uses less digits than its factorization.

149377400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6024 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 149377400 is about 12222.0047455399. The cubic root of 149377400 is about 530.5931415716.

The spelling of 149377400 in words is "one hundred forty-nine million, three hundred seventy-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 508 635 1016 1270 2540 3175 5080 5881 6350 11762 12700 23524 25400 29405 47048 58810 117620 147025 235240 294050 588100 746887 1176200 1493774 2987548 3734435 5975096 7468870 14937740 18672175 29875480 37344350 74688700 149377400