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1117355940 = 22325173111779
BaseRepresentation
bin100001010011001…
…0111111110100100
32212212111120012100
41002212113332210
54242020342230
6302512452100
736455240331
oct10246277644
92785446170
101117355940
1152379a068
1227224a030
1314a64977c
14a8579988
1568163660
hex42997fa4

1117355940 has 144 divisors (see below), whose sum is σ = 3704762880. Its totient is φ = 271365120.

The previous prime is 1117355891. The next prime is 1117355959. The reversal of 1117355940 is 495537111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1117355895 and 1117355904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88971 + ... + 100749.

It is an arithmetic number, because the mean of its divisors is an integer number (25727520).

Almost surely, 21117355940 is an apocalyptic number.

1117355940 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 1117355940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852381440).

1117355940 is an abundant number, since it is smaller than the sum of its proper divisors (2587406940).

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

1117355940 is a wasteful number, since it uses less digits than its factorization.

1117355940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11842 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 1117355940 is about 33426.8745173700. The cubic root of 1117355940 is about 1037.6809582264.

The spelling of 1117355940 in words is "one billion, one hundred seventeen million, three hundred fifty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 153 155 170 180 186 204 255 279 306 310 340 372 465 510 527 558 612 620 765 930 1020 1054 1116 1395 1530 1581 1860 2108 2635 2790 3060 3162 4743 5270 5580 6324 7905 9486 10540 11779 15810 18972 23558 23715 31620 35337 47116 47430 58895 70674 94860 106011 117790 141348 176685 200243 212022 235580 353370 365149 400486 424044 530055 600729 706740 730298 800972 1001215 1060110 1095447 1201458 1460596 1802187 1825745 2002430 2120220 2190894 2402916 3003645 3286341 3604374 3651490 4004860 4381788 5477235 6007290 6207533 6572682 7208748 7302980 9010935 10954470 12014580 12415066 13145364 16431705 18021870 18622599 21908940 24830132 31037665 32863410 36043740 37245198 55867797 62075330 65726820 74490396 93112995 111735594 124150660 186225990 223471188 279338985 372451980 558677970 1117355940