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1140946950 = 23521113431237
BaseRepresentation
bin100010000000001…
…0111100000000110
32221111220002222110
41010000113200012
54314040300300
6305114241450
740162613643
oct10400274006
92844802873
101140946950
11536042370
1227a126286
131524b9550
14ab75adca
156a273550
hex44017806

1140946950 has 192 divisors, whose sum is σ = 3404282112. Its totient is φ = 249177600.

The previous prime is 1140946931. The next prime is 1140946951. The reversal of 1140946950 is 596490411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1140946899 and 1140946908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140946951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 921732 + ... + 922968.

It is an arithmetic number, because the mean of its divisors is an integer number (17730636).

Almost surely, 21140946950 is an apocalyptic number.

1140946950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140946950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702141056).

1140946950 is an abundant number, since it is smaller than the sum of its proper divisors (2263335162).

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

1140946950 is a wasteful number, since it uses less digits than its factorization.

1140946950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1140946950 is about 33777.9062406183. The cubic root of 1140946950 is about 1044.9330940124.

The spelling of 1140946950 in words is "one billion, one hundred forty million, nine hundred forty-six thousand, nine hundred fifty".