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896029120 = 2657607659
BaseRepresentation
bin110101011010000…
…101000111000000
32022110000222212201
4311122011013000
53313340412440
6224525002544
731130056540
oct6532050700
92273028781
10896029120
1141a86aa38
122100b3454
1311383615c
1487005320
15539e519a
hex356851c0

896029120 has 112 divisors (see below), whose sum is σ = 2446202880. Its totient is φ = 306238464.

The previous prime is 896029109. The next prime is 896029187. The reversal of 896029120 is 21920698.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 896029120.

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, 1359351 + ... + 1360009.

Almost surely, 2896029120 is an apocalyptic number.

896029120 is a gapful number since it is divisible by the number (80) 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 896029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223101440).

896029120 is an abundant number, since it is smaller than the sum of its proper divisors (1550173760).

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

896029120 is a wasteful number, since it uses less digits than its factorization.

896029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 896029120 is about 29933.7455056998. The cubic root of 896029120 is about 964.0673495068.

The spelling of 896029120 in words is "eight hundred ninety-six million, twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 607 659 1120 1214 1318 2240 2428 2636 3035 3295 4249 4613 4856 5272 6070 6590 8498 9226 9712 10544 12140 13180 16996 18452 19424 21088 21245 23065 24280 26360 33992 36904 38848 42176 42490 46130 48560 52720 67984 73808 84980 92260 97120 105440 135968 147616 169960 184520 194240 210880 271936 295232 339920 369040 400013 679840 738080 800026 1359680 1476160 1600052 2000065 2800091 3200104 4000130 5600182 6400208 8000260 11200364 12800416 14000455 16000520 22400728 25600832 28000910 32001040 44801456 56001820 64002080 89602912 112003640 128004160 179205824 224007280 448014560 896029120