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120040074 = 232711257337
BaseRepresentation
bin1110010011110…
…10101010001010
322100212200000200
413021322222022
5221212240244
615524513030
72655216030
oct711725212
9270780020
10120040074
1161839980
123424b776
131bb3c23b
1411d2a550
15a812669
hex727aa8a

120040074 has 96 divisors (see below), whose sum is σ = 326491776. Its totient is φ = 30965760.

The previous prime is 120040073. The next prime is 120040127. The reversal of 120040074 is 470040021.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (120040073) 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, 356034 + ... + 356370.

It is an arithmetic number, because the mean of its divisors is an integer number (3400956).

Almost surely, 2120040074 is an apocalyptic number.

120040074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120040074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163245888).

120040074 is an abundant number, since it is smaller than the sum of its proper divisors (206451702).

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

120040074 is a wasteful number, since it uses less digits than its factorization.

120040074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 617 counting only the distinct ones).

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

The square root of 120040074 is about 10956.2801169010. The cubic root of 120040074 is about 493.2973148567.

Adding to 120040074 its reverse (470040021), we get a palindrome (590080095).

The spelling of 120040074 in words is "one hundred twenty million, forty thousand, seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 257 337 462 514 674 693 771 1011 1386 1542 1799 2022 2313 2359 2827 3033 3598 3707 4626 4718 5397 5654 6066 7077 7414 8481 10794 11121 14154 16191 16962 19789 21231 22242 25443 25949 32382 33363 39578 42462 50886 51898 59367 66726 77847 86609 118734 155694 173218 178101 233541 259827 356202 467082 519654 606263 779481 952699 1212526 1558962 1818789 1905398 2858097 3637578 5456367 5716194 6668893 8574291 10912734 13337786 17148582 20006679 40013358 60020037 120040074