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1074053838 = 2311213313671
BaseRepresentation
bin100000000000100…
…1100001011001110
32202212000120212210
41000001030023032
54144424210323
6254324411250
735421210204
oct10001141316
92685016783
101074053838
11501303600
1225b846b26
13141697c20
14a2907074
156445d293
hex4004c2ce

1074053838 has 96 divisors (see below), whose sum is σ = 2625509376. Its totient is φ = 290664000.

The previous prime is 1074053837. The next prime is 1074053843. The reversal of 1074053838 is 8383504701.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1074053796 and 1074053805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074053837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290743 + ... + 294413.

It is an arithmetic number, because the mean of its divisors is an integer number (27349056).

Almost surely, 21074053838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074053838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312754688).

1074053838 is an abundant number, since it is smaller than the sum of its proper divisors (1551455538).

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

1074053838 is a wasteful number, since it uses less digits than its factorization.

1074053838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 1074053838 is about 32772.7606099944. The cubic root of 1074053838 is about 1024.0991769735.

The spelling of 1074053838 in words is "one billion, seventy-four million, fifty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 121 143 186 242 286 341 363 403 429 682 726 806 858 1023 1209 1573 2046 2418 3146 3671 3751 4433 4719 7342 7502 8866 9438 11013 11253 13299 22026 22506 26598 40381 47723 48763 80762 95446 97526 113801 121143 143169 146289 227602 242286 286338 292578 341403 444191 524953 682806 888382 1049906 1251811 1332573 1479413 1574859 2503622 2665146 2958826 3149718 3755433 4438239 5774483 7510866 8876478 11548966 13769921 16273543 17323449 27539842 32547086 34646898 41309763 48820629 82619526 97641258 179008973 358017946 537026919 1074053838