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1450190940 = 22351123831151
BaseRepresentation
bin101011001110000…
…0010100001011100
310202001210022222120
41112130002201130
510432222102230
6355522342540
750636263632
oct12634024134
93661708876
101450190940
1168465aa10
123457baa50
131a15a2a63
14da859352
15874ab310
hex5670285c

1450190940 has 192 divisors, whose sum is σ = 4682022912. Its totient is φ = 331936000.

The previous prime is 1450190939. The next prime is 1450190957. The reversal of 1450190940 is 490910541.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1259365 + ... + 1260515.

It is an arithmetic number, because the mean of its divisors is an integer number (24385536).

Almost surely, 21450190940 is an apocalyptic number.

1450190940 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 1450190940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341011456).

1450190940 is an abundant number, since it is smaller than the sum of its proper divisors (3231831972).

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

1450190940 is a wasteful number, since it uses less digits than its factorization.

1450190940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1450190940 is about 38081.3726118164. The cubic root of 1450190940 is about 1131.9008755450.

The spelling of 1450190940 in words is "one billion, four hundred fifty million, one hundred ninety thousand, nine hundred forty".