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1120120148 = 2271923312953
BaseRepresentation
bin100001011000011…
…1010110101010100
32220001200222222102
41002300322311110
54243222321043
6303052021232
736520602260
oct10260726524
92801628872
101120120148
11525307934
12273161818
1314b0a69b4
14a8a990a0
156850c6b8
hex42c3ad54

1120120148 has 96 divisors (see below), whose sum is σ = 2540912640. Its totient is φ = 420837120.

The previous prime is 1120120147. The next prime is 1120120151. The reversal of 1120120148 is 8410210211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120120147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377840 + ... + 380792.

It is an arithmetic number, because the mean of its divisors is an integer number (26467840).

Almost surely, 21120120148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120120148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270456320).

1120120148 is an abundant number, since it is smaller than the sum of its proper divisors (1420792492).

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

1120120148 is a wasteful number, since it uses less digits than its factorization.

1120120148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 1120120148 is about 33468.1960673114. The cubic root of 1120120148 is about 1038.5359540294.

Adding to 1120120148 its reverse (8410210211), we get a palindrome (9530330359).

The spelling of 1120120148 in words is "one billion, one hundred twenty million, one hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 19 23 28 31 38 46 62 76 92 124 133 161 217 266 322 434 437 532 589 644 713 868 874 1178 1426 1748 2356 2852 2953 3059 4123 4991 5906 6118 8246 9982 11812 12236 13547 16492 19964 20671 27094 41342 54188 56107 67919 82684 91543 94829 112214 135838 183086 189658 224428 271676 366172 379316 392749 475433 640801 785498 950866 1281602 1290461 1570996 1739317 1901732 2105489 2563204 2580922 3478634 4210978 5161844 6957268 8421956 9033227 12175219 14738423 18066454 24350438 29476846 36132908 40004291 48700876 58953692 80008582 160017164 280030037 560060074 1120120148