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80192640 = 2735113797
BaseRepresentation
bin1001100011110…
…10010010000000
312120220012121210
410301322102000
5131012131030
611542450120
71662424533
oct461722200
9176805553
1080192640
11412a2a10
1222a33940
13137c9c88
14a916a1a
157090bb0
hex4c7a480

80192640 has 128 divisors (see below), whose sum is σ = 278925120. Its totient is φ = 19435520.

The previous prime is 80192639. The next prime is 80192641. The reversal of 80192640 is 4629108.

It is an interprime number because it is at equal distance from previous prime (80192639) and next prime (80192641).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 80192598 and 80192607.

It is not an unprimeable number, because it can be changed into a prime (80192641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19222 + ... + 23018.

Almost surely, 280192640 is an apocalyptic number.

80192640 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 80192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139462560).

80192640 is an abundant number, since it is smaller than the sum of its proper divisors (198732480).

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

80192640 is a wasteful number, since it uses less digits than its factorization.

80192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 80192640 is about 8955.0343382926. The cubic root of 80192640 is about 431.2325193502.

The spelling of 80192640 in words is "eighty million, one hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 3797 4224 5280 7040 7594 10560 11391 15188 18985 21120 22782 30376 37970 41767 45564 56955 60752 75940 83534 91128 113910 121504 125301 151880 167068 182256 208835 227820 243008 250602 303760 334136 364512 417670 455640 486016 501204 607520 626505 668272 729024 835340 911280 1002408 1215040 1253010 1336544 1458048 1670680 1822560 2004816 2430080 2506020 2673088 3341360 3645120 4009632 5012040 5346176 6682720 7290240 8019264 10024080 13365440 16038528 20048160 26730880 40096320 80192640