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1090034040 = 233553367467
BaseRepresentation
bin100000011111000…
…1001100101111000
32210222002110121010
41000332021211320
54213022042130
6300055113520
736004064544
oct10076114570
92728073533
101090034040
1150a328787
122650728a0
13144aa1774
14a4aa6a24
1565a680b0
hex40f89978

1090034040 has 128 divisors (see below), whose sum is σ = 3348034560. Its totient is φ = 283805184.

The previous prime is 1090034017. The next prime is 1090034051. The reversal of 1090034040 is 404300901.

It is a junction number, because it is equal to n+sod(n) for n = 1090033998 and 1090034016.

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, 2333887 + ... + 2334353.

It is an arithmetic number, because the mean of its divisors is an integer number (26156520).

Almost surely, 21090034040 is an apocalyptic number.

1090034040 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 1090034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674017280).

1090034040 is an abundant number, since it is smaller than the sum of its proper divisors (2258000520).

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

1090034040 is a wasteful number, since it uses less digits than its factorization.

1090034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1090034040 is about 33015.6635553490. The cubic root of 1090034040 is about 1029.1531796128.

Adding to 1090034040 its reverse (404300901), we get a palindrome (1494334941).

The spelling of 1090034040 in words is "one billion, ninety million, thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 367 424 467 530 636 734 795 934 1060 1101 1272 1401 1468 1590 1835 1868 2120 2202 2335 2802 2936 3180 3670 3736 4404 4670 5505 5604 6360 7005 7340 8808 9340 11010 11208 14010 14680 18680 19451 22020 24751 28020 38902 44040 49502 56040 58353 74253 77804 97255 99004 116706 123755 148506 155608 171389 194510 198008 233412 247510 291765 297012 342778 371265 389020 466824 495020 514167 583530 594024 685556 742530 778040 856945 990040 1028334 1167060 1371112 1485060 1713890 2056668 2334120 2570835 2970120 3427780 4113336 5141670 6855560 9083617 10283340 18167234 20566680 27250851 36334468 45418085 54501702 72668936 90836170 109003404 136254255 181672340 218006808 272508510 363344680 545017020 1090034040