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1124142032 = 24132439947
BaseRepresentation
bin100001100000001…
…0000101111010000
32220100021022222002
41003000100233100
54300240021112
6303314133132
736600023006
oct10300205720
92810238862
101124142032
11527604602
122745811a8
1314bb84500
14a9424a76
1568a541c2
hex43010bd0

1124142032 has 60 divisors (see below), whose sum is σ = 2366321760. Its totient is φ = 517106304.

The previous prime is 1124142023. The next prime is 1124142079. The reversal of 1124142032 is 2302414211.

It is a junction number, because it is equal to n+sod(n) for n = 1124141995 and 1124142013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1186583 + ... + 1187529.

It is an arithmetic number, because the mean of its divisors is an integer number (39438696).

Almost surely, 21124142032 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 1124142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183160880).

1124142032 is an abundant number, since it is smaller than the sum of its proper divisors (1242179728).

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

1124142032 is a wasteful number, since it uses less digits than its factorization.

1124142032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1124142032 is about 33528.2273912594. The cubic root of 1124142032 is about 1039.7774523809. Note that the first 3 decimals are identical.

Adding to 1124142032 its reverse (2302414211), we get a palindrome (3426556243).

The spelling of 1124142032 in words is "one billion, one hundred twenty-four million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 439 676 878 947 1352 1756 1894 2704 3512 3788 5707 7024 7576 11414 12311 15152 22828 24622 45656 49244 74191 91312 98488 148382 160043 196976 296764 320086 415733 593528 640172 831466 1187056 1280344 1662932 2560688 3325864 5404529 6651728 10809058 21618116 43236232 70258877 86472464 140517754 281035508 562071016 1124142032