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1074406740 = 2235113743997
BaseRepresentation
bin100000000001010…
…0010010101010100
32202212200111222020
41000002202111110
54200022003430
6254340133140
735424210111
oct10002422524
92685614866
101074406740
11501524760
1225b9971b0
1314178c744
14a2999908
15644ccb10
hex400a2554

1074406740 has 96 divisors (see below), whose sum is σ = 3370598784. Its totient is φ = 253416960.

The previous prime is 1074406727. The next prime is 1074406757. The reversal of 1074406740 is 476044701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2422 + ... + 46418.

It is an arithmetic number, because the mean of its divisors is an integer number (35110404).

Almost surely, 21074406740 is an apocalyptic number.

1074406740 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 1074406740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685299392).

1074406740 is an abundant number, since it is smaller than the sum of its proper divisors (2296192044).

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

1074406740 is a wasteful number, since it uses less digits than its factorization.

1074406740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44057 (or 44055 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 1074406740 is about 32778.1442427725. The cubic root of 1074406740 is about 1024.2113274883.

The spelling of 1074406740 in words is "one billion, seventy-four million, four hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 43997 87994 131991 175988 219985 263982 439970 483967 527964 659955 879940 967934 1319910 1451901 1627889 1935868 2419835 2639820 2903802 3255778 4839670 4883667 5807604 6511556 7259505 8139445 9679340 9767334 14519010 16278890 17906779 19534668 24418335 29038020 32557780 35813558 48836670 53720337 71627116 89533895 97673340 107440674 179067790 214881348 268601685 358135580 537203370 1074406740