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1085397432 = 23373791669
BaseRepresentation
bin100000010110001…
…1101100110111000
32210122100220100220
41000230131212320
54210330204212
6255411500040
735616504000
oct10054354670
92718326326
101085397432
11507751179
122635b7620
13143b3a202
14a421b000
156544e38c
hex40b1d9b8

1085397432 has 128 divisors (see below), whose sum is σ = 3206400000. Its totient is φ = 306004608.

The previous prime is 1085397427. The next prime is 1085397437. The reversal of 1085397432 is 2347935801.

It is an interprime number because it is at equal distance from previous prime (1085397427) and next prime (1085397437).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085397437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649494 + ... + 651162.

It is an arithmetic number, because the mean of its divisors is an integer number (25050000).

Almost surely, 21085397432 is an apocalyptic number.

1085397432 is a gapful number since it is divisible by the number (12) 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 1085397432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603200000).

1085397432 is an abundant number, since it is smaller than the sum of its proper divisors (2121002568).

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

1085397432 is a wasteful number, since it uses less digits than its factorization.

1085397432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1085397432 is about 32945.3704183152. The cubic root of 1085397432 is about 1027.6918913932.

The spelling of 1085397432 in words is "one billion, eighty-five million, three hundred ninety-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 79 84 98 147 158 168 196 237 294 316 343 392 474 553 588 632 686 948 1029 1106 1176 1372 1659 1669 1896 2058 2212 2744 3318 3338 3871 4116 4424 5007 6636 6676 7742 8232 10014 11613 11683 13272 13352 15484 20028 23226 23366 27097 30968 35049 40056 46452 46732 54194 70098 81291 81781 92904 93464 108388 131851 140196 162582 163562 216776 245343 263702 280392 325164 327124 395553 490686 527404 572467 650328 654248 791106 922957 981372 1054808 1144934 1582212 1717401 1845914 1962744 2289868 2768871 3164424 3434802 3691828 4579736 5537742 6460699 6869604 7383656 11075484 12921398 13739208 19382097 22150968 25842796 38764194 45224893 51685592 77528388 90449786 135674679 155056776 180899572 271349358 361799144 542698716 1085397432