Search a number
-
+
148693840 = 2457692417
BaseRepresentation
bin10001101110011…
…10001101010000
3101100210102121021
420313032031100
5301031200330
622431005224
73453606511
oct1067161520
9340712537
10148693840
1176a2a979
1241969814
1324a62529
1415a68a08
15d0c267a
hex8dce350

148693840 has 40 divisors (see below), whose sum is σ = 346305960. Its totient is φ = 59375616.

The previous prime is 148693823. The next prime is 148693847. The reversal of 148693840 is 48396841.

It can be written as a sum of positive squares in 4 ways, for example, as 44408896 + 104284944 = 6664^2 + 10212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148693847) 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 7 ways as a sum of consecutive naturals, for example, 60312 + ... + 62728.

It is an arithmetic number, because the mean of its divisors is an integer number (8657649).

Almost surely, 2148693840 is an apocalyptic number.

148693840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148693840 is an abundant number, since it is smaller than the sum of its proper divisors (197612120).

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

148693840 is a wasteful number, since it uses less digits than its factorization.

148693840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 148693840 is about 12194.0083647667. The cubic root of 148693840 is about 529.7825618086.

The spelling of 148693840 in words is "one hundred forty-eight million, six hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 769 1538 2417 3076 3845 4834 6152 7690 9668 12085 12304 15380 19336 24170 30760 38672 48340 61520 96680 193360 1858673 3717346 7434692 9293365 14869384 18586730 29738768 37173460 74346920 148693840