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1036274540 = 225723728579
BaseRepresentation
bin111101110001000…
…100101101101100
32200012221012102112
4331301010231230
54110241241130
6250454543152
734452121400
oct7561045554
92605835375
101036274540
11491a4a444
1224b067ab8
131368cb102
149b8b1100
1560e99495
hex3dc44b6c

1036274540 has 72 divisors (see below), whose sum is σ = 2599979760. Its totient is φ = 345679488.

The previous prime is 1036274537. The next prime is 1036274567. The reversal of 1036274540 is 454726301.

It is a super-3 number, since 3×10362745403 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1036274497 and 1036274506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21971 + ... + 50549.

It is an arithmetic number, because the mean of its divisors is an integer number (36110830).

Almost surely, 21036274540 is an apocalyptic number.

1036274540 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 1036274540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299989880).

1036274540 is an abundant number, since it is smaller than the sum of its proper divisors (1563705220).

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

1036274540 is a wasteful number, since it uses less digits than its factorization.

1036274540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28639 (or 28630 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 1036274540 is about 32191.2183677474. The cubic root of 1036274540 is about 1011.9481856228.

The spelling of 1036274540 in words is "one billion, thirty-six million, two hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1813 2590 3626 5180 7252 9065 18130 28579 36260 57158 114316 142895 200053 285790 400106 571580 800212 1000265 1057423 1400371 2000530 2114846 2800742 4001060 4229692 5287115 5601484 7001855 7401961 10574230 14003710 14803922 21148460 28007420 29607844 37009805 51813727 74019610 103627454 148039220 207254908 259068635 518137270 1036274540