Search a number
-
+
1126406424 = 2331121329837
BaseRepresentation
bin100001100100011…
…1001100100011000
32220111112101010110
41003020321210120
54301330001144
6303434444320
736625203513
oct10310714430
92814471113
101126406424
11528910900
122752936a0
1314c4980a0
14a9853d7a
1568d500b9
hex43239918

1126406424 has 96 divisors (see below), whose sum is σ = 3333501360. Its totient is φ = 315068160.

The previous prime is 1126406423. The next prime is 1126406443. The reversal of 1126406424 is 4246046211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1126406391 and 1126406400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126406423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22834 + ... + 52670.

Almost surely, 21126406424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126406424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666750680).

1126406424 is an abundant number, since it is smaller than the sum of its proper divisors (2207094936).

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

1126406424 is a wasteful number, since it uses less digits than its factorization.

1126406424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29881 (or 29866 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1126406424 is about 33561.9788451158. The cubic root of 1126406424 is about 1040.4751354602.

The spelling of 1126406424 in words is "one billion, one hundred twenty-six million, four hundred six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 121 132 143 156 242 264 286 312 363 429 484 572 726 858 968 1144 1452 1573 1716 2904 3146 3432 4719 6292 9438 12584 18876 29837 37752 59674 89511 119348 179022 238696 328207 358044 387881 656414 716088 775762 984621 1163643 1312828 1551524 1969242 2327286 2625656 3103048 3610277 3938484 4266691 4654572 7220554 7876968 8533382 9309144 10830831 12800073 14441108 17066764 21661662 25600146 28882216 34133528 43323324 46933601 51200292 86646648 93867202 102400584 140800803 187734404 281601606 375468808 563203212 1126406424