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148700416 = 28732109
BaseRepresentation
bin10001101110011…
…11110100000000
3101100210202121211
420313033310000
5301031403131
622431055504
73453634624
oct1067176400
9340722554
10148700416
1176a34907
1241971594
1324a65517
1415a6b184
15d0c45b1
hex8dcfd00

148700416 has 54 divisors (see below), whose sum is σ = 303702630. Its totient is φ = 72658944.

The previous prime is 148700413. The next prime is 148700443. The reversal of 148700416 is 614007841.

It can be written as a sum of positive squares in 3 ways, for example, as 42198016 + 106502400 = 6496^2 + 10320^2 .

It is a super-2 number, since 2×1487004162 = 44223627437146112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148700413) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1364170 + ... + 1364278.

Almost surely, 2148700416 is an apocalyptic number.

148700416 is a gapful number since it is divisible by the number (16) 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 148700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151851315).

148700416 is an abundant number, since it is smaller than the sum of its proper divisors (155002214).

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

148700416 is an frugal number, since it uses more digits than its factorization.

148700416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 148700416 is about 12194.2780024075. The cubic root of 148700416 is about 529.7903715891.

The spelling of 148700416 in words is "one hundred forty-eight million, seven hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 73 109 128 146 218 256 292 436 584 872 1168 1744 2336 3488 4672 5329 6976 7957 9344 10658 13952 15914 18688 21316 27904 31828 42632 63656 85264 127312 170528 254624 341056 509248 580861 682112 1018496 1161722 1364224 2036992 2323444 4646888 9293776 18587552 37175104 74350208 148700416