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1077949140 = 223529619511
BaseRepresentation
bin100000001000000…
…0011001011010100
32210010100111020020
41000100003023110
54201423333030
6254544105140
735466262602
oct10020031324
92703314206
101077949140
11503524164
122610051b0
1314242cc38
14a323c872
156497c510
hex404032d4

1077949140 has 48 divisors (see below), whose sum is σ = 3122340480. Its totient is φ = 277540480.

The previous prime is 1077949129. The next prime is 1077949177. The reversal of 1077949140 is 419497701.

It is a junction number, because it is equal to n+sod(n) for n = 1077949092 and 1077949101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308016 + ... + 311495.

It is an arithmetic number, because the mean of its divisors is an integer number (65048760).

Almost surely, 21077949140 is an apocalyptic number.

1077949140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077949140 is an abundant number, since it is smaller than the sum of its proper divisors (2044391340).

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

1077949140 is a wasteful number, since it uses less digits than its factorization.

1077949140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619552 (or 619550 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 1077949140 is about 32832.1357818830. The cubic root of 1077949140 is about 1025.3357266299.

The spelling of 1077949140 in words is "one billion, seventy-seven million, nine hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 619511 1239022 1858533 2478044 3097555 3717066 6195110 7434132 9292665 12390220 17965819 18585330 35931638 37170660 53897457 71863276 89829095 107794914 179658190 215589828 269487285 359316380 538974570 1077949140