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80190144 = 2632236053
BaseRepresentation
bin1001100011110…
…01101011000000
312120220002012100
410301321223000
5131012041034
611542430400
71662414336
oct461715300
9176802170
1080190144
11412a1051
1222a32400
13137c8ab8
14a915b56
157090099
hex4c79ac0

80190144 has 84 divisors (see below), whose sum is σ = 239883696. Its totient is φ = 25563648.

The previous prime is 80190119. The next prime is 80190179. The reversal of 80190144 is 44109108.

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, 10222 + ... + 16274.

Almost surely, 280190144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119941848).

80190144 is an abundant number, since it is smaller than the sum of its proper divisors (159693552).

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

80190144 is a wasteful number, since it uses less digits than its factorization.

80190144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 80190144 is about 8954.8949742585. The cubic root of 80190144 is about 431.2280452591.

The spelling of 80190144 in words is "eighty million, one hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6053 6624 12106 13248 18159 24212 36318 48424 54477 72636 96848 108954 139219 145272 193696 217908 278438 290544 387392 417657 435816 556876 581088 835314 871632 1113752 1162176 1252971 1670628 1743264 2227504 2505942 3341256 3486528 4455008 5011884 6682512 8910016 10023768 13365024 20047536 26730048 40095072 80190144