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1380888576 = 2123247797
BaseRepresentation
bin101001001001110…
…1011000000000000
310120020101102000100
41102103223000000
510312001413301
6345005122400
746135234134
oct12223530000
93506342010
101380888576
11649526031
12326559400
13190119942
14d15793c4
158136c286
hex524eb000

1380888576 has 156 divisors (see below), whose sum is σ = 4078724832. Its totient is φ = 449937408.

The previous prime is 1380888557. The next prime is 1380888599. The reversal of 1380888576 is 6758880831.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1732210 + ... + 1733006.

It is an arithmetic number, because the mean of its divisors is an integer number (26145672).

Almost surely, 21380888576 is an apocalyptic number.

1380888576 is a gapful number since it is divisible by the number (16) 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 1380888576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039362416).

1380888576 is an abundant number, since it is smaller than the sum of its proper divisors (2697836256).

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

1380888576 is an equidigital number, since it uses as much as digits as its factorization.

1380888576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 1380888576 is about 37160.3091483373. The cubic root of 1380888576 is about 1113.5751877151.

The spelling of 1380888576 in words is "one billion, three hundred eighty million, eight hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 797 846 1024 1128 1152 1504 1536 1594 1692 2048 2256 2304 2391 3008 3072 3188 3384 4096 4512 4608 4782 6016 6144 6376 6768 7173 9024 9216 9564 12032 12288 12752 13536 14346 18048 18432 19128 24064 25504 27072 28692 36096 36864 37459 38256 48128 51008 54144 57384 72192 74918 76512 96256 102016 108288 112377 114768 144384 149836 153024 192512 204032 216576 224754 229536 288768 299672 306048 337131 408064 433152 449508 459072 577536 599344 612096 674262 816128 866304 899016 918144 1198688 1224192 1348524 1632256 1732608 1798032 1836288 2397376 2448384 2697048 3264512 3596064 3672576 4794752 4896768 5394096 7192128 7345152 9589504 9793536 10788192 14384256 14690304 19179008 21576384 28768512 29380608 38358016 43152768 57537024 76716032 86305536 115074048 153432064 172611072 230148096 345222144 460296192 690444288 1380888576