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74040120 = 233257112671
BaseRepresentation
bin1000110100111…
…00001100111000
312011022121221200
410122130030320
5122423240440
611202534200
71556221260
oct432341470
9164277850
1074040120
1138880490
1220967360
131245472b
149b947a0
156777c30
hex469c338

74040120 has 192 divisors, whose sum is σ = 300119040. Its totient is φ = 15379200.

The previous prime is 74040119. The next prime is 74040133. The reversal of 74040120 is 2104047.

It is a happy number.

It is a super-2 number, since 2×740401202 = 10963878739228800, which contains 22 as substring.

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 = 74040093 and 74040102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26385 + ... + 29055.

It is an arithmetic number, because the mean of its divisors is an integer number (1563120).

Almost surely, 274040120 is an apocalyptic number.

74040120 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 74040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150059520).

74040120 is an abundant number, since it is smaller than the sum of its proper divisors (226078920).

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

74040120 is a wasteful number, since it uses less digits than its factorization.

74040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 74040120 is about 8604.6568786907. The cubic root of 74040120 is about 419.9095043122.

Adding to 74040120 its reverse (2104047), we get a palindrome (76144167).

The spelling of 74040120 in words is "seventy-four million, forty thousand, one hundred twenty".