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122073480 = 2335519661
BaseRepresentation
bin1110100011010…
…11000110001000
322111200222100000
413101223012020
5222222322410
620040243000
73011415234
oct721530610
9274628300
10122073480
11629a8681
1234a70460
131c3a1939
14122d95c4
15aab4dc0
hex746b188

122073480 has 192 divisors, whose sum is σ = 433742400. Its totient is φ = 30792960.

The previous prime is 122073467. The next prime is 122073487. The reversal of 122073480 is 84370221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122073487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184350 + ... + 185010.

It is an arithmetic number, because the mean of its divisors is an integer number (2259075).

Almost surely, 2122073480 is an apocalyptic number.

122073480 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 122073480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216871200).

122073480 is an abundant number, since it is smaller than the sum of its proper divisors (311668920).

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

122073480 is a wasteful number, since it uses less digits than its factorization.

122073480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122073480 is about 11048.6867997966. The cubic root of 122073480 is about 496.0671193422.

The spelling of 122073480 in words is "one hundred twenty-two million, seventy-three thousand, four hundred eighty".