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1123674240 = 27351323463
BaseRepresentation
bin100001011111001…
…1110100010000000
32220022101120021110
41002332132202000
54300130033430
6303300123320
736563034123
oct10276364200
92808346243
101123674240
115273150a7
12274396540
1314ba4c600
14a93423ba
15689b07b0
hex42f9e880

1123674240 has 192 divisors, whose sum is σ = 3879541440. Its totient is φ = 276516864.

The previous prime is 1123674239. The next prime is 1123674301. The reversal of 1123674240 is 424763211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1123674198 and 1123674207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322749 + ... + 326211.

It is an arithmetic number, because the mean of its divisors is an integer number (20205945).

Almost surely, 21123674240 is an apocalyptic number.

1123674240 is a gapful number since it is divisible by the number (10) 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 1123674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939770720).

1123674240 is an abundant number, since it is smaller than the sum of its proper divisors (2755867200).

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

1123674240 is a wasteful number, since it uses less digits than its factorization.

1123674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1123674240 is about 33521.2505733303. The cubic root of 1123674240 is about 1039.6332039838.

The spelling of 1123674240 in words is "one billion, one hundred twenty-three million, six hundred seventy-four thousand, two hundred forty".