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1040315700 = 223526773709
BaseRepresentation
bin111110000000011…
…111010100110100
32200111112111212010
4332000133110310
54112310100300
6251121324220
734531352244
oct7600372464
92614474763
101040315700
1149425a646
12250496670
131376b4628
149c243b24
15614e6a50
hex3e01f534

1040315700 has 144 divisors (see below), whose sum is σ = 3101120960. Its totient is φ = 269153280.

The previous prime is 1040315693. The next prime is 1040315711. The reversal of 1040315700 is 75130401.

1040315700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1466946 + ... + 1467654.

Almost surely, 21040315700 is an apocalyptic number.

1040315700 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 1040315700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550560480).

1040315700 is an abundant number, since it is smaller than the sum of its proper divisors (2060805260).

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

1040315700 is a wasteful number, since it uses less digits than its factorization.

1040315700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1040315700 is about 32253.9253425068. The cubic root of 1040315700 is about 1013.2619108921.

It can be divided in two parts, 10 and 40315700, that added together give a triangular number (40315710 = T8979).

The spelling of 1040315700 in words is "one billion, forty million, three hundred fifteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 73 75 100 134 146 150 201 219 268 292 300 335 365 402 438 670 709 730 804 876 1005 1095 1340 1418 1460 1675 1825 2010 2127 2190 2836 3350 3545 3650 4020 4254 4380 4891 5025 5475 6700 7090 7300 8508 9782 10050 10635 10950 14180 14673 17725 19564 20100 21270 21900 24455 29346 35450 42540 47503 48910 51757 53175 58692 70900 73365 95006 97820 103514 106350 122275 142509 146730 155271 190012 207028 212700 237515 244550 258785 285018 293460 310542 366825 475030 489100 517570 570036 621084 712545 733650 776355 950060 1035140 1187575 1293925 1425090 1467300 1552710 2375150 2587850 2850180 3105420 3467719 3562725 3881775 4750300 5175700 6935438 7125450 7763550 10403157 13870876 14250900 15527100 17338595 20806314 34677190 41612628 52015785 69354380 86692975 104031570 173385950 208063140 260078925 346771900 520157850 1040315700