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1150746040 = 235314092269
BaseRepresentation
bin100010010010110…
…1111110110111000
32222012022221210201
41010211233312320
54324042333130
6310104251544
740342115503
oct10445576670
92865287721
101150746040
11540625594
12281470bb4
1315453a822
14acb8c13a
156b05bbca
hex4496fdb8

1150746040 has 64 divisors (see below), whose sum is σ = 2680416000. Its totient is φ = 444165120.

The previous prime is 1150746019. The next prime is 1150746067. The reversal of 1150746040 is 406470511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506026 + ... + 508294.

It is an arithmetic number, because the mean of its divisors is an integer number (41881500).

Almost surely, 21150746040 is an apocalyptic number.

1150746040 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 1150746040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340208000).

1150746040 is an abundant number, since it is smaller than the sum of its proper divisors (1529669960).

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

1150746040 is a wasteful number, since it uses less digits than its factorization.

1150746040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1150746040 is about 33922.6478919320. The cubic root of 1150746040 is about 1047.9160602311.

The spelling of 1150746040 in words is "one billion, one hundred fifty million, seven hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 409 620 818 1240 1636 2045 2269 3272 4090 4538 8180 9076 11345 12679 16360 18152 22690 25358 45380 50716 63395 70339 90760 101432 126790 140678 253580 281356 351695 507160 562712 703390 928021 1406780 1856042 2813560 3712084 4640105 7424168 9280210 18560420 28768651 37120840 57537302 115074604 143843255 230149208 287686510 575373020 1150746040