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1076227320 = 233577317551
BaseRepresentation
bin100000000100101…
…1110110011111000
32210000010000100010
41000021132303320
54201003233240
6254443141520
735445531660
oct10011366370
92700100303
101076227320
11502558573
122605148a0
13141c792cc
14a2d111a0
156473c280
hex4025ecf8

1076227320 has 128 divisors (see below), whose sum is σ = 3740682240. Its totient is φ = 242611200.

The previous prime is 1076227289. The next prime is 1076227357. The reversal of 1076227320 is 237226701.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 52545 + ... + 70095.

It is an arithmetic number, because the mean of its divisors is an integer number (29224080).

Almost surely, 21076227320 is an apocalyptic number.

1076227320 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 1076227320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870341120).

1076227320 is an abundant number, since it is smaller than the sum of its proper divisors (2664454920).

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

1076227320 is a wasteful number, since it uses less digits than its factorization.

1076227320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17645 (or 17641 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 1076227320 is about 32805.9037369800. The cubic root of 1076227320 is about 1024.7895090278.

The spelling of 1076227320 in words is "one billion, seventy-six million, two hundred twenty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 73 84 105 120 140 146 168 210 219 280 292 365 420 438 511 584 730 840 876 1022 1095 1460 1533 1752 2044 2190 2555 2920 3066 4088 4380 5110 6132 7665 8760 10220 12264 15330 17551 20440 30660 35102 52653 61320 70204 87755 105306 122857 140408 175510 210612 245714 263265 351020 368571 421224 491428 526530 614285 702040 737142 982856 1053060 1228570 1281223 1474284 1842855 2106120 2457140 2562446 2948568 3685710 3843669 4914280 5124892 6406115 7371420 7687338 8968561 10249784 12812230 14742840 15374676 17937122 19218345 25624460 26905683 30749352 35874244 38436690 44842805 51248920 53811366 71748488 76873380 89685610 107622732 134528415 153746760 179371220 215245464 269056830 358742440 538113660 1076227320