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1035306140 = 2251122720731
BaseRepresentation
bin111101101101011…
…000010010011100
32200011010000000212
4331231120102130
54110014244030
6250422111552
734440646151
oct7555302234
92604100025
101035306140
11491448910
1224a87b5b8
1313664c3ab
149b6dc228
1560d57595
hex3db5849c

1035306140 has 48 divisors (see below), whose sum is σ = 2382355584. Its totient is φ = 374798400.

The previous prime is 1035306133. The next prime is 1035306157. The reversal of 1035306140 is 416035301.

It is a happy number.

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, 39575 + ... + 60305.

It is an arithmetic number, because the mean of its divisors is an integer number (49632408).

Almost surely, 21035306140 is an apocalyptic number.

1035306140 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 1035306140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191177792).

1035306140 is an abundant number, since it is smaller than the sum of its proper divisors (1347049444).

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

1035306140 is a wasteful number, since it uses less digits than its factorization.

1035306140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20978 (or 20976 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 1035306140 is about 32176.1734828739. The cubic root of 1035306140 is about 1011.6328650505.

The spelling of 1035306140 in words is "one billion, thirty-five million, three hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 227 454 908 1135 2270 2497 4540 4994 9988 12485 20731 24970 41462 49940 82924 103655 207310 228041 414620 456082 912164 1140205 2280410 4560820 4705937 9411874 18823748 23529685 47059370 51765307 94118740 103530614 207061228 258826535 517653070 1035306140