Search a number
-
+
1126206040 = 235234173409
BaseRepresentation
bin100001100100000…
…1000101001011000
32220111011012020211
41003020020221120
54301302043130
6303430300504
736623410351
oct10310105130
92814135224
101126206040
115287942a3
122751b7734
1314c427b0b
14a9800d28
1568d10a2a
hex43208a58

1126206040 has 128 divisors (see below), whose sum is σ = 2752444800. Its totient is φ = 413614080.

The previous prime is 1126206007. The next prime is 1126206043. The reversal of 1126206040 is 406026211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126206043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2753356 + ... + 2753764.

It is an arithmetic number, because the mean of its divisors is an integer number (21503475).

Almost surely, 21126206040 is an apocalyptic number.

1126206040 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 1126206040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376222400).

1126206040 is an abundant number, since it is smaller than the sum of its proper divisors (1626238760).

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

1126206040 is a wasteful number, since it uses less digits than its factorization.

1126206040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1126206040 is about 33558.9934294818. The cubic root of 1126206040 is about 1040.4134327657.

The spelling of 1126206040 in words is "one billion, one hundred twenty-six million, two hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 73 82 92 115 146 164 184 205 230 292 328 365 409 410 460 584 730 818 820 920 943 1460 1636 1640 1679 1886 2045 2920 2993 3272 3358 3772 4090 4715 5986 6716 7544 8180 8395 9407 9430 11972 13432 14965 16360 16769 16790 18814 18860 23944 29857 29930 33538 33580 37628 37720 47035 59714 59860 67076 67160 68839 75256 83845 94070 119428 119720 134152 137678 149285 167690 188140 238856 275356 298570 335380 344195 376280 385687 550712 597140 670760 686711 688390 771374 1194280 1224137 1373422 1376780 1542748 1928435 2448274 2746844 2753560 3085496 3433555 3856870 4896548 5493688 6120685 6867110 7713740 9793096 12241370 13734220 15427480 24482740 27468440 28155151 48965480 56310302 112620604 140775755 225241208 281551510 563103020 1126206040