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148112400 = 24352123427
BaseRepresentation
bin10001101010000…
…00010000010000
3101022200220000110
420311000100100
5300404044100
622410321320
73445635402
oct1065002020
9338626013
10148112400
1176673047
1241729240
13248ba997
1415956b72
15d00a250
hex8d40410

148112400 has 60 divisors (see below), whose sum is σ = 474457232. Its totient is φ = 39496320.

The previous prime is 148112333. The next prime is 148112477. The reversal of 148112400 is 4211841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60514 + ... + 62913.

Almost surely, 2148112400 is an apocalyptic number.

148112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148112400 is an abundant number, since it is smaller than the sum of its proper divisors (326344832).

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

148112400 is a wasteful number, since it uses less digits than its factorization.

148112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123448 (or 123437 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 148112400 is about 12170.1437953707. The cubic root of 148112400 is about 529.0911205797.

The spelling of 148112400 in words is "one hundred forty-eight million, one hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 123427 246854 370281 493708 617135 740562 987416 1234270 1481124 1851405 1974832 2468540 2962248 3085675 3702810 4937080 5924496 6171350 7405620 9257025 9874160 12342700 14811240 18514050 24685400 29622480 37028100 49370800 74056200 148112400