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1085619920 = 245711176237
BaseRepresentation
bin100000010110101…
…0011111011010000
32210122210012120012
41000231103323100
54210404314140
6255420334052
735621421440
oct10055237320
92718705505
101085619920
11507893350
122636a4328
13143bb7568
14a4278120
1565495265
hex40b53ed0

1085619920 has 80 divisors (see below), whose sum is σ = 3146905728. Its totient is φ = 338373120.

The previous prime is 1085619893. The next prime is 1085619943. The reversal of 1085619920 is 299165801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10856199202 = 2357141221401612800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81959 + ... + 94278.

Almost surely, 21085619920 is an apocalyptic number.

1085619920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085619920 is an abundant number, since it is smaller than the sum of its proper divisors (2061285808).

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

1085619920 is a wasteful number, since it uses less digits than its factorization.

1085619920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176268 (or 176262 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 1085619920 is about 32948.7468653969. The cubic root of 1085619920 is about 1027.7621063779.

The spelling of 1085619920 in words is "one billion, eighty-five million, six hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 176237 352474 704948 881185 1233659 1409896 1762370 1938607 2467318 2819792 3524740 3877214 4934636 6168295 7049480 7754428 9693035 9869272 12336590 13570249 14098960 15508856 19386070 19738544 24673180 27140498 31017712 38772140 49346360 54280996 67851245 77544280 98692720 108561992 135702490 155088560 217123984 271404980 542809960 1085619920