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1074235140 = 22325111513593
BaseRepresentation
bin100000000000111…
…1000011100000100
32202212100210120200
41000001320130010
54200001011030
6254332330500
735422563606
oct10001703404
92685323520
101074235140
11501417840
1225b913a30
1314172c5c4
14a2953176
1564496d60
hex40078704

1074235140 has 144 divisors (see below), whose sum is σ = 3579278976. Its totient is φ = 258624000.

The previous prime is 1074235121. The next prime is 1074235147. The reversal of 1074235140 is 415324701.

1074235140 is a `hidden beast` number, since 107 + 42 + 3 + 514 + 0 = 666.

It is a super-2 number, since 2×10742351402 = 2307962272021639200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1074235147) 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, 297184 + ... + 300776.

It is an arithmetic number, because the mean of its divisors is an integer number (24856104).

Almost surely, 21074235140 is an apocalyptic number.

1074235140 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 1074235140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789639488).

1074235140 is an abundant number, since it is smaller than the sum of its proper divisors (2505043836).

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

1074235140 is a wasteful number, since it uses less digits than its factorization.

1074235140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1074235140 is about 32775.5265403929. The cubic root of 1074235140 is about 1024.1567969227.

Adding to 1074235140 its reverse (415324701), we get a palindrome (1489559841).

The spelling of 1074235140 in words is "one billion, seventy-four million, two hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 151 165 180 198 220 302 330 396 453 495 604 660 755 906 990 1359 1510 1661 1812 1980 2265 2718 3020 3322 3593 4530 4983 5436 6644 6795 7186 8305 9060 9966 10779 13590 14372 14949 16610 17965 19932 21558 24915 27180 29898 32337 33220 35930 39523 43116 49830 53895 59796 64674 71860 74745 79046 99660 107790 118569 129348 149490 158092 161685 197615 215580 237138 298980 323370 355707 395230 474276 542543 592845 646740 711414 790460 1085086 1185690 1422828 1627629 1778535 2170172 2371380 2712715 3255258 3557070 4882887 5425430 5967973 6510516 7114140 8138145 9765774 10850860 11935946 16276290 17903919 19531548 23871892 24414435 29839865 32552580 35807838 48828870 53711757 59679730 71615676 89519595 97657740 107423514 119359460 179039190 214847028 268558785 358078380 537117570 1074235140