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74103120 = 24335713229
BaseRepresentation
bin1000110101010…
…11100101010000
312011102211101000
410122223211100
5122432244440
611204142000
71556603040
oct432534520
9164384330
1074103120
1138913853
1220997900
1312477300
149bad720
15678b730
hex46ab950

74103120 has 480 divisors, whose sum is σ = 326764800. Its totient is φ = 15095808.

The previous prime is 74103101. The next prime is 74103131. The reversal of 74103120 is 2130147.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 74103093 and 74103102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2555266 + ... + 2555294.

It is an arithmetic number, because the mean of its divisors is an integer number (680760).

Almost surely, 274103120 is an apocalyptic number.

74103120 is a gapful number since it is divisible by the number (70) 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 74103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163382400).

74103120 is an abundant number, since it is smaller than the sum of its proper divisors (252661680).

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

74103120 is a wasteful number, since it uses less digits than its factorization.

74103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 74103120 is about 8608.3169086646. The cubic root of 74103120 is about 420.0285694852.

Adding to 74103120 its reverse (2130147), we get a palindrome (76233267).

The spelling of 74103120 in words is "seventy-four million, one hundred three thousand, one hundred twenty".