Search a number
-
+
122378240 = 2115171937
BaseRepresentation
bin1110100101101…
…01100000000000
322112021110101102
413102311200000
5222312100430
620050553532
73014124605
oct722654000
9275243342
10122378240
1163096646
1234b988a8
131c47a57a
14123786ac
15ab25345
hex74b5800

122378240 has 192 divisors, whose sum is σ = 336117600. Its totient is φ = 42467328.

The previous prime is 122378237. The next prime is 122378251. The reversal of 122378240 is 42873221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3307502 + ... + 3307538.

Almost surely, 2122378240 is an apocalyptic number.

122378240 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 122378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168058800).

122378240 is an abundant number, since it is smaller than the sum of its proper divisors (213739360).

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

122378240 is a wasteful number, since it uses less digits than its factorization.

122378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 122378240 is about 11062.4698869647. The cubic root of 122378240 is about 496.4795916222.

The spelling of 122378240 in words is "one hundred twenty-two million, three hundred seventy-eight thousand, two hundred forty".